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Finding the Fourth Proportional to 9,740.64, 13,438.80 and 5,545.92

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Solution

The fourth proportional to 9,740.64, 13,438.80 and 5,545.92 is: 7,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.64 : 13,438.80 = 5,545.92 : x
  2. Step 2: Convert to fraction form
    9,740.64/13,438.80 = 5,545.92/x
  3. Step 3: Cross multiply
    9,740.64x = 13,438.80 × 5,545.92
  4. Step 4: Simplify right side
    9,740.64x = 74,530,509.70
  5. Step 5: Solve for x
    x = 74,530,509.70/9,740.64
  6. Step 6: Final answer
    x = 7,651.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.