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Finding the Fourth Proportional to 9,889.40, 14,839.56 and 4,050.10

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Solution

The fourth proportional to 9,889.40, 14,839.56 and 4,050.10 is: 6,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.40 : 14,839.56 = 4,050.10 : x
  2. Step 2: Convert to fraction form
    9,889.40/14,839.56 = 4,050.10/x
  3. Step 3: Cross multiply
    9,889.40x = 14,839.56 × 4,050.10
  4. Step 4: Simplify right side
    9,889.40x = 60,101,701.96
  5. Step 5: Solve for x
    x = 60,101,701.96/9,889.40
  6. Step 6: Final answer
    x = 6,077.39

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Why These Related Problems?

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