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Finding the Fourth Proportional to 10,012.16, 13,814.88 and 6,867.20

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Solution

The fourth proportional to 10,012.16, 13,814.88 and 6,867.20 is: 9,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.16 : 13,814.88 = 6,867.20 : x
  2. Step 2: Convert to fraction form
    10,012.16/13,814.88 = 6,867.20/x
  3. Step 3: Cross multiply
    10,012.16x = 13,814.88 × 6,867.20
  4. Step 4: Simplify right side
    10,012.16x = 94,869,543.94
  5. Step 5: Solve for x
    x = 94,869,543.94/10,012.16
  6. Step 6: Final answer
    x = 9,475.43

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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.