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Finding the Fourth Proportional to 7,134.40, 9,838.56 and 5,561.92

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Solution

The fourth proportional to 7,134.40, 9,838.56 and 5,561.92 is: 7,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.40 : 9,838.56 = 5,561.92 : x
  2. Step 2: Convert to fraction form
    7,134.40/9,838.56 = 5,561.92/x
  3. Step 3: Cross multiply
    7,134.40x = 9,838.56 × 5,561.92
  4. Step 4: Simplify right side
    7,134.40x = 54,721,283.64
  5. Step 5: Solve for x
    x = 54,721,283.64/7,134.40
  6. Step 6: Final answer
    x = 7,670.06

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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.