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Finding the Fourth Proportional to 6,549.64, 9,038.29 and 3,565.45

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Solution

The fourth proportional to 6,549.64, 9,038.29 and 3,565.45 is: 4,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.64 : 9,038.29 = 3,565.45 : x
  2. Step 2: Convert to fraction form
    6,549.64/9,038.29 = 3,565.45/x
  3. Step 3: Cross multiply
    6,549.64x = 9,038.29 × 3,565.45
  4. Step 4: Simplify right side
    6,549.64x = 32,225,577.89
  5. Step 5: Solve for x
    x = 32,225,577.89/6,549.64
  6. Step 6: Final answer
    x = 4,920.21

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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.