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Finding the Fourth Proportional to 9,154.86, 13,732.30 and 4,780.86

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Solution

The fourth proportional to 9,154.86, 13,732.30 and 4,780.86 is: 7,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.86 : 13,732.30 = 4,780.86 : x
  2. Step 2: Convert to fraction form
    9,154.86/13,732.30 = 4,780.86/x
  3. Step 3: Cross multiply
    9,154.86x = 13,732.30 × 4,780.86
  4. Step 4: Simplify right side
    9,154.86x = 65,652,203.78
  5. Step 5: Solve for x
    x = 65,652,203.78/9,154.86
  6. Step 6: Final answer
    x = 7,171.30

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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.