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Finding the Fourth Proportional to 6,570.72, 9,838.80 and 5,032.80

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Solution

The fourth proportional to 6,570.72, 9,838.80 and 5,032.80 is: 7,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.72 : 9,838.80 = 5,032.80 : x
  2. Step 2: Convert to fraction form
    6,570.72/9,838.80 = 5,032.80/x
  3. Step 3: Cross multiply
    6,570.72x = 9,838.80 × 5,032.80
  4. Step 4: Simplify right side
    6,570.72x = 49,516,712.64
  5. Step 5: Solve for x
    x = 49,516,712.64/6,570.72
  6. Step 6: Final answer
    x = 7,535.96

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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.