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Finding the Fourth Proportional to 6,565.16, 9,059.55 and 3,770.66

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Solution

The fourth proportional to 6,565.16, 9,059.55 and 3,770.66 is: 5,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.16 : 9,059.55 = 3,770.66 : x
  2. Step 2: Convert to fraction form
    6,565.16/9,059.55 = 3,770.66/x
  3. Step 3: Cross multiply
    6,565.16x = 9,059.55 × 3,770.66
  4. Step 4: Simplify right side
    6,565.16x = 34,160,437.51
  5. Step 5: Solve for x
    x = 34,160,437.51/6,565.16
  6. Step 6: Final answer
    x = 5,203.29

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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.