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Finding the Fourth Proportional to 6,700.10, 10,039.21 and 6,444.14

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Solution

The fourth proportional to 6,700.10, 10,039.21 and 6,444.14 is: 9,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.10 : 10,039.21 = 6,444.14 : x
  2. Step 2: Convert to fraction form
    6,700.10/10,039.21 = 6,444.14/x
  3. Step 3: Cross multiply
    6,700.10x = 10,039.21 × 6,444.14
  4. Step 4: Simplify right side
    6,700.10x = 64,694,008.42
  5. Step 5: Solve for x
    x = 64,694,008.42/6,700.10
  6. Step 6: Final answer
    x = 9,655.69

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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.