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Finding the Fourth Proportional to 6,549.32, 9,038.00 and 3,565.14

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Solution

The fourth proportional to 6,549.32, 9,038.00 and 3,565.14 is: 4,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.32 : 9,038.00 = 3,565.14 : x
  2. Step 2: Convert to fraction form
    6,549.32/9,038.00 = 3,565.14/x
  3. Step 3: Cross multiply
    6,549.32x = 9,038.00 × 3,565.14
  4. Step 4: Simplify right side
    6,549.32x = 32,221,744.23
  5. Step 5: Solve for x
    x = 32,221,744.23/6,549.32
  6. Step 6: Final answer
    x = 4,919.86

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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.