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Finding the Fourth Proportional to 6,594.72, 9,825.47 and 6,281.25

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Solution

The fourth proportional to 6,594.72, 9,825.47 and 6,281.25 is: 9,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.72 : 9,825.47 = 6,281.25 : x
  2. Step 2: Convert to fraction form
    6,594.72/9,825.47 = 6,281.25/x
  3. Step 3: Cross multiply
    6,594.72x = 9,825.47 × 6,281.25
  4. Step 4: Simplify right side
    6,594.72x = 61,716,233.44
  5. Step 5: Solve for x
    x = 61,716,233.44/6,594.72
  6. Step 6: Final answer
    x = 9,358.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.