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Finding the Fourth Proportional to 6,557.90, 9,061.41 and 5,242.46

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Solution

The fourth proportional to 6,557.90, 9,061.41 and 5,242.46 is: 7,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.90 : 9,061.41 = 5,242.46 : x
  2. Step 2: Convert to fraction form
    6,557.90/9,061.41 = 5,242.46/x
  3. Step 3: Cross multiply
    6,557.90x = 9,061.41 × 5,242.46
  4. Step 4: Simplify right side
    6,557.90x = 47,504,079.47
  5. Step 5: Solve for x
    x = 47,504,079.47/6,557.90
  6. Step 6: Final answer
    x = 7,243.79

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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.