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Finding the Fourth Proportional to 9,615.33, 14,407.16 and 5,909.74

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Solution

The fourth proportional to 9,615.33, 14,407.16 and 5,909.74 is: 8,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.33 : 14,407.16 = 5,909.74 : x
  2. Step 2: Convert to fraction form
    9,615.33/14,407.16 = 5,909.74/x
  3. Step 3: Cross multiply
    9,615.33x = 14,407.16 × 5,909.74
  4. Step 4: Simplify right side
    9,615.33x = 85,142,504.17
  5. Step 5: Solve for x
    x = 85,142,504.17/9,615.33
  6. Step 6: Final answer
    x = 8,854.87

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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.