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Finding the Fourth Proportional to 7,117.27, 9,819.29 and 4,282.40

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Solution

The fourth proportional to 7,117.27, 9,819.29 and 4,282.40 is: 5,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.27 : 9,819.29 = 4,282.40 : x
  2. Step 2: Convert to fraction form
    7,117.27/9,819.29 = 4,282.40/x
  3. Step 3: Cross multiply
    7,117.27x = 9,819.29 × 4,282.40
  4. Step 4: Simplify right side
    7,117.27x = 42,050,162.75
  5. Step 5: Solve for x
    x = 42,050,162.75/7,117.27
  6. Step 6: Final answer
    x = 5,908.19

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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.