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Finding the Fourth Proportional to 9,275.46, 12,800.84 and 5,740.74

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Solution

The fourth proportional to 9,275.46, 12,800.84 and 5,740.74 is: 7,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.46 : 12,800.84 = 5,740.74 : x
  2. Step 2: Convert to fraction form
    9,275.46/12,800.84 = 5,740.74/x
  3. Step 3: Cross multiply
    9,275.46x = 12,800.84 × 5,740.74
  4. Step 4: Simplify right side
    9,275.46x = 73,486,294.22
  5. Step 5: Solve for x
    x = 73,486,294.22/9,275.46
  6. Step 6: Final answer
    x = 7,922.66

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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.