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Finding the Fourth Proportional to 9,567.34, 13,207.42 and 6,385.92

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Solution

The fourth proportional to 9,567.34, 13,207.42 and 6,385.92 is: 8,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.34 : 13,207.42 = 6,385.92 : x
  2. Step 2: Convert to fraction form
    9,567.34/13,207.42 = 6,385.92/x
  3. Step 3: Cross multiply
    9,567.34x = 13,207.42 × 6,385.92
  4. Step 4: Simplify right side
    9,567.34x = 84,341,527.53
  5. Step 5: Solve for x
    x = 84,341,527.53/9,567.34
  6. Step 6: Final answer
    x = 8,815.57

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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.