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Finding the Fourth Proportional to 6,557.46, 9,052.65 and 4,444.16

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Solution

The fourth proportional to 6,557.46, 9,052.65 and 4,444.16 is: 6,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.46 : 9,052.65 = 4,444.16 : x
  2. Step 2: Convert to fraction form
    6,557.46/9,052.65 = 4,444.16/x
  3. Step 3: Cross multiply
    6,557.46x = 9,052.65 × 4,444.16
  4. Step 4: Simplify right side
    6,557.46x = 40,231,425.02
  5. Step 5: Solve for x
    x = 40,231,425.02/6,557.46
  6. Step 6: Final answer
    x = 6,135.21

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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.