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Finding the Fourth Proportional to 9,921.46, 14,881.17 and 4,989.09

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Solution

The fourth proportional to 9,921.46, 14,881.17 and 4,989.09 is: 7,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.46 : 14,881.17 = 4,989.09 : x
  2. Step 2: Convert to fraction form
    9,921.46/14,881.17 = 4,989.09/x
  3. Step 3: Cross multiply
    9,921.46x = 14,881.17 × 4,989.09
  4. Step 4: Simplify right side
    9,921.46x = 74,243,542.89
  5. Step 5: Solve for x
    x = 74,243,542.89/9,921.46
  6. Step 6: Final answer
    x = 7,483.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.