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Finding the Fourth Proportional to 7,089.31, 9,778.89 and 4,570.48

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Solution

The fourth proportional to 7,089.31, 9,778.89 and 4,570.48 is: 6,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.31 : 9,778.89 = 4,570.48 : x
  2. Step 2: Convert to fraction form
    7,089.31/9,778.89 = 4,570.48/x
  3. Step 3: Cross multiply
    7,089.31x = 9,778.89 × 4,570.48
  4. Step 4: Simplify right side
    7,089.31x = 44,694,221.17
  5. Step 5: Solve for x
    x = 44,694,221.17/7,089.31
  6. Step 6: Final answer
    x = 6,304.45

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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.