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Finding the Fourth Proportional to 9,154.69, 13,732.00 and 2,580.86

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Solution

The fourth proportional to 9,154.69, 13,732.00 and 2,580.86 is: 3,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.69 : 13,732.00 = 2,580.86 : x
  2. Step 2: Convert to fraction form
    9,154.69/13,732.00 = 2,580.86/x
  3. Step 3: Cross multiply
    9,154.69x = 13,732.00 × 2,580.86
  4. Step 4: Simplify right side
    9,154.69x = 35,440,397.40
  5. Step 5: Solve for x
    x = 35,440,397.40/9,154.69
  6. Step 6: Final answer
    x = 3,871.28

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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.