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Finding the Fourth Proportional to 6,712.27, 9,245.55 and 5,648.74

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Solution

The fourth proportional to 6,712.27, 9,245.55 and 5,648.74 is: 7,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.27 : 9,245.55 = 5,648.74 : x
  2. Step 2: Convert to fraction form
    6,712.27/9,245.55 = 5,648.74/x
  3. Step 3: Cross multiply
    6,712.27x = 9,245.55 × 5,648.74
  4. Step 4: Simplify right side
    6,712.27x = 52,225,708.11
  5. Step 5: Solve for x
    x = 52,225,708.11/6,712.27
  6. Step 6: Final answer
    x = 7,780.63

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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.