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Finding the Fourth Proportional to 6,549.44, 9,038.42 and 3,565.47

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Solution

The fourth proportional to 6,549.44, 9,038.42 and 3,565.47 is: 4,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.44 : 9,038.42 = 3,565.47 : x
  2. Step 2: Convert to fraction form
    6,549.44/9,038.42 = 3,565.47/x
  3. Step 3: Cross multiply
    6,549.44x = 9,038.42 × 3,565.47
  4. Step 4: Simplify right side
    6,549.44x = 32,226,215.36
  5. Step 5: Solve for x
    x = 32,226,215.36/6,549.44
  6. Step 6: Final answer
    x = 4,920.45

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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.