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Finding the Fourth Proportional to 6,549.75, 9,038.52 and 3,565.64

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Solution

The fourth proportional to 6,549.75, 9,038.52 and 3,565.64 is: 4,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.75 : 9,038.52 = 3,565.64 : x
  2. Step 2: Convert to fraction form
    6,549.75/9,038.52 = 3,565.64/x
  3. Step 3: Cross multiply
    6,549.75x = 9,038.52 × 3,565.64
  4. Step 4: Simplify right side
    6,549.75x = 32,228,063.26
  5. Step 5: Solve for x
    x = 32,228,063.26/6,549.75
  6. Step 6: Final answer
    x = 4,920.50

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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.