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Finding the Fourth Proportional to 9,385.87, 12,952.07 and 5,407.55

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Solution

The fourth proportional to 9,385.87, 12,952.07 and 5,407.55 is: 7,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.87 : 12,952.07 = 5,407.55 : x
  2. Step 2: Convert to fraction form
    9,385.87/12,952.07 = 5,407.55/x
  3. Step 3: Cross multiply
    9,385.87x = 12,952.07 × 5,407.55
  4. Step 4: Simplify right side
    9,385.87x = 70,038,939.09
  5. Step 5: Solve for x
    x = 70,038,939.09/9,385.87
  6. Step 6: Final answer
    x = 7,462.17

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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.