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Finding the Fourth Proportional to 6,566.25, 9,058.86 and 4,329.30

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Solution

The fourth proportional to 6,566.25, 9,058.86 and 4,329.30 is: 5,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.25 : 9,058.86 = 4,329.30 : x
  2. Step 2: Convert to fraction form
    6,566.25/9,058.86 = 4,329.30/x
  3. Step 3: Cross multiply
    6,566.25x = 9,058.86 × 4,329.30
  4. Step 4: Simplify right side
    6,566.25x = 39,218,522.60
  5. Step 5: Solve for x
    x = 39,218,522.60/6,566.25
  6. Step 6: Final answer
    x = 5,972.74

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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.