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Finding the Fourth Proportional to 9,113.60, 13,663.57 and 3,854.78

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Solution

The fourth proportional to 9,113.60, 13,663.57 and 3,854.78 is: 5,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.60 : 13,663.57 = 3,854.78 : x
  2. Step 2: Convert to fraction form
    9,113.60/13,663.57 = 3,854.78/x
  3. Step 3: Cross multiply
    9,113.60x = 13,663.57 × 3,854.78
  4. Step 4: Simplify right side
    9,113.60x = 52,670,056.36
  5. Step 5: Solve for x
    x = 52,670,056.36/9,113.60
  6. Step 6: Final answer
    x = 5,779.28

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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.