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Finding the Fourth Proportional to 9,385.57, 12,952.50 and 5,193.82

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Solution

The fourth proportional to 9,385.57, 12,952.50 and 5,193.82 is: 7,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.57 : 12,952.50 = 5,193.82 : x
  2. Step 2: Convert to fraction form
    9,385.57/12,952.50 = 5,193.82/x
  3. Step 3: Cross multiply
    9,385.57x = 12,952.50 × 5,193.82
  4. Step 4: Simplify right side
    9,385.57x = 67,272,953.55
  5. Step 5: Solve for x
    x = 67,272,953.55/9,385.57
  6. Step 6: Final answer
    x = 7,167.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.