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Finding the Fourth Proportional to 9,539.52, 14,312.52 and 4,609.86

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Solution

The fourth proportional to 9,539.52, 14,312.52 and 4,609.86 is: 6,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.52 : 14,312.52 = 4,609.86 : x
  2. Step 2: Convert to fraction form
    9,539.52/14,312.52 = 4,609.86/x
  3. Step 3: Cross multiply
    9,539.52x = 14,312.52 × 4,609.86
  4. Step 4: Simplify right side
    9,539.52x = 65,978,713.45
  5. Step 5: Solve for x
    x = 65,978,713.45/9,539.52
  6. Step 6: Final answer
    x = 6,916.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.