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Finding the Fourth Proportional to 9,565.64, 14,348.40 and 5,667.26

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Solution

The fourth proportional to 9,565.64, 14,348.40 and 5,667.26 is: 8,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.64 : 14,348.40 = 5,667.26 : x
  2. Step 2: Convert to fraction form
    9,565.64/14,348.40 = 5,667.26/x
  3. Step 3: Cross multiply
    9,565.64x = 14,348.40 × 5,667.26
  4. Step 4: Simplify right side
    9,565.64x = 81,316,113.38
  5. Step 5: Solve for x
    x = 81,316,113.38/9,565.64
  6. Step 6: Final answer
    x = 8,500.85

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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.