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Finding the Fourth Proportional to 9,512.64, 13,127.40 and 5,320.92

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Solution

The fourth proportional to 9,512.64, 13,127.40 and 5,320.92 is: 7,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.64 : 13,127.40 = 5,320.92 : x
  2. Step 2: Convert to fraction form
    9,512.64/13,127.40 = 5,320.92/x
  3. Step 3: Cross multiply
    9,512.64x = 13,127.40 × 5,320.92
  4. Step 4: Simplify right side
    9,512.64x = 69,849,845.21
  5. Step 5: Solve for x
    x = 69,849,845.21/9,512.64
  6. Step 6: Final answer
    x = 7,342.85

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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.