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Finding the Fourth Proportional to 9,730.80, 13,438.68 and 7,650.16

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Solution

The fourth proportional to 9,730.80, 13,438.68 and 7,650.16 is: 10,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.80 : 13,438.68 = 7,650.16 : x
  2. Step 2: Convert to fraction form
    9,730.80/13,438.68 = 7,650.16/x
  3. Step 3: Cross multiply
    9,730.80x = 13,438.68 × 7,650.16
  4. Step 4: Simplify right side
    9,730.80x = 102,808,052.19
  5. Step 5: Solve for x
    x = 102,808,052.19/9,730.80
  6. Step 6: Final answer
    x = 10,565.22

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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.