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Finding the Fourth Proportional to 6,488.96, 8,944.24 and 5,070.17

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Solution

The fourth proportional to 6,488.96, 8,944.24 and 5,070.17 is: 6,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.96 : 8,944.24 = 5,070.17 : x
  2. Step 2: Convert to fraction form
    6,488.96/8,944.24 = 5,070.17/x
  3. Step 3: Cross multiply
    6,488.96x = 8,944.24 × 5,070.17
  4. Step 4: Simplify right side
    6,488.96x = 45,348,817.32
  5. Step 5: Solve for x
    x = 45,348,817.32/6,488.96
  6. Step 6: Final answer
    x = 6,988.61

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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.