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Finding the Fourth Proportional to 6,296.64, 9,437.58 and 3,377.04

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Solution

The fourth proportional to 6,296.64, 9,437.58 and 3,377.04 is: 5,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.64 : 9,437.58 = 3,377.04 : x
  2. Step 2: Convert to fraction form
    6,296.64/9,437.58 = 3,377.04/x
  3. Step 3: Cross multiply
    6,296.64x = 9,437.58 × 3,377.04
  4. Step 4: Simplify right side
    6,296.64x = 31,871,085.16
  5. Step 5: Solve for x
    x = 31,871,085.16/6,296.64
  6. Step 6: Final answer
    x = 5,061.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.