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Finding the Fourth Proportional to 9,849.32, 13,592.13 and 5,373.10

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Solution

The fourth proportional to 9,849.32, 13,592.13 and 5,373.10 is: 7,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.32 : 13,592.13 = 5,373.10 : x
  2. Step 2: Convert to fraction form
    9,849.32/13,592.13 = 5,373.10/x
  3. Step 3: Cross multiply
    9,849.32x = 13,592.13 × 5,373.10
  4. Step 4: Simplify right side
    9,849.32x = 73,031,870.54
  5. Step 5: Solve for x
    x = 73,031,870.54/9,849.32
  6. Step 6: Final answer
    x = 7,414.92

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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.