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Finding the Fourth Proportional to 9,919,916.21, 13,690,978.46 and 6,054,683.49

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Solution

The fourth proportional to 9,919,916.21, 13,690,978.46 and 6,054,683.49 is: 8,356,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919,916.21 : 13,690,978.46 = 6,054,683.49 : x
  2. Step 2: Convert to fraction form
    9,919,916.21/13,690,978.46 = 6,054,683.49/x
  3. Step 3: Cross multiply
    9,919,916.21x = 13,690,978.46 × 6,054,683.49
  4. Step 4: Simplify right side
    9,919,916.21x = 82,894,541,258,844.34
  5. Step 5: Solve for x
    x = 82,894,541,258,844.34/9,919,916.21
  6. Step 6: Final answer
    x = 8,356,375.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.