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Finding the Fourth Proportional to 6,549.72, 9,036.09 and 4,660.71

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Solution

The fourth proportional to 6,549.72, 9,036.09 and 4,660.71 is: 6,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.72 : 9,036.09 = 4,660.71 : x
  2. Step 2: Convert to fraction form
    6,549.72/9,036.09 = 4,660.71/x
  3. Step 3: Cross multiply
    6,549.72x = 9,036.09 × 4,660.71
  4. Step 4: Simplify right side
    6,549.72x = 42,114,595.02
  5. Step 5: Solve for x
    x = 42,114,595.02/6,549.72
  6. Step 6: Final answer
    x = 6,429.98

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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.