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Finding the Fourth Proportional to 9,076.75, 13,585.92 and 6,138.88

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Solution

The fourth proportional to 9,076.75, 13,585.92 and 6,138.88 is: 9,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.75 : 13,585.92 = 6,138.88 : x
  2. Step 2: Convert to fraction form
    9,076.75/13,585.92 = 6,138.88/x
  3. Step 3: Cross multiply
    9,076.75x = 13,585.92 × 6,138.88
  4. Step 4: Simplify right side
    9,076.75x = 83,402,332.57
  5. Step 5: Solve for x
    x = 83,402,332.57/9,076.75
  6. Step 6: Final answer
    x = 9,188.57

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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.