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Finding the Fourth Proportional to 9,139.74, 13,710.32 and 2,899.56

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Solution

The fourth proportional to 9,139.74, 13,710.32 and 2,899.56 is: 4,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.74 : 13,710.32 = 2,899.56 : x
  2. Step 2: Convert to fraction form
    9,139.74/13,710.32 = 2,899.56/x
  3. Step 3: Cross multiply
    9,139.74x = 13,710.32 × 2,899.56
  4. Step 4: Simplify right side
    9,139.74x = 39,753,880.96
  5. Step 5: Solve for x
    x = 39,753,880.96/9,139.74
  6. Step 6: Final answer
    x = 4,349.56

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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.