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Finding the Fourth Proportional to 9,565.12, 14,332.92 and 6,438.40

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Solution

The fourth proportional to 9,565.12, 14,332.92 and 6,438.40 is: 9,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.12 : 14,332.92 = 6,438.40 : x
  2. Step 2: Convert to fraction form
    9,565.12/14,332.92 = 6,438.40/x
  3. Step 3: Cross multiply
    9,565.12x = 14,332.92 × 6,438.40
  4. Step 4: Simplify right side
    9,565.12x = 92,281,072.13
  5. Step 5: Solve for x
    x = 92,281,072.13/9,565.12
  6. Step 6: Final answer
    x = 9,647.66

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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.