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Finding the Fourth Proportional to 9,154, 13,730.36 and 4,773.92

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Solution

The fourth proportional to 9,154, 13,730.36 and 4,773.92 is: 7,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154 : 13,730.36 = 4,773.92 : x
  2. Step 2: Convert to fraction form
    9,154/13,730.36 = 4,773.92/x
  3. Step 3: Cross multiply
    9,154x = 13,730.36 × 4,773.92
  4. Step 4: Simplify right side
    9,154x = 65,547,640.21
  5. Step 5: Solve for x
    x = 65,547,640.21/9,154
  6. Step 6: Final answer
    x = 7,160.55

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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.