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Finding the Fourth Proportional to 10,412.42, 14,373.86 and 6,640.72

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Solution

The fourth proportional to 10,412.42, 14,373.86 and 6,640.72 is: 9,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.42 : 14,373.86 = 6,640.72 : x
  2. Step 2: Convert to fraction form
    10,412.42/14,373.86 = 6,640.72/x
  3. Step 3: Cross multiply
    10,412.42x = 14,373.86 × 6,640.72
  4. Step 4: Simplify right side
    10,412.42x = 95,452,710.44
  5. Step 5: Solve for x
    x = 95,452,710.44/10,412.42
  6. Step 6: Final answer
    x = 9,167.20

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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.