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Finding the Fourth Proportional to 9,159.72, 13,732.08 and 7,594.80

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Solution

The fourth proportional to 9,159.72, 13,732.08 and 7,594.80 is: 11,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.72 : 13,732.08 = 7,594.80 : x
  2. Step 2: Convert to fraction form
    9,159.72/13,732.08 = 7,594.80/x
  3. Step 3: Cross multiply
    9,159.72x = 13,732.08 × 7,594.80
  4. Step 4: Simplify right side
    9,159.72x = 104,292,401.18
  5. Step 5: Solve for x
    x = 104,292,401.18/9,159.72
  6. Step 6: Final answer
    x = 11,385.98

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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.