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Finding the Fourth Proportional to 6,549.56, 9,038.17 and 3,565.34

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Solution

The fourth proportional to 6,549.56, 9,038.17 and 3,565.34 is: 4,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.56 : 9,038.17 = 3,565.34 : x
  2. Step 2: Convert to fraction form
    6,549.56/9,038.17 = 3,565.34/x
  3. Step 3: Cross multiply
    6,549.56x = 9,038.17 × 3,565.34
  4. Step 4: Simplify right side
    6,549.56x = 32,224,149.03
  5. Step 5: Solve for x
    x = 32,224,149.03/6,549.56
  6. Step 6: Final answer
    x = 4,920.05

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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.