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Finding the Fourth Proportional to 9,584.41, 14,375.53 and 2,565.16

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Solution

The fourth proportional to 9,584.41, 14,375.53 and 2,565.16 is: 3,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.41 : 14,375.53 = 2,565.16 : x
  2. Step 2: Convert to fraction form
    9,584.41/14,375.53 = 2,565.16/x
  3. Step 3: Cross multiply
    9,584.41x = 14,375.53 × 2,565.16
  4. Step 4: Simplify right side
    9,584.41x = 36,875,534.53
  5. Step 5: Solve for x
    x = 36,875,534.53/9,584.41
  6. Step 6: Final answer
    x = 3,847.45

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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.