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Finding the Fourth Proportional to 7,034.40, 9,708.53 and 4,382.66

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Solution

The fourth proportional to 7,034.40, 9,708.53 and 4,382.66 is: 6,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.40 : 9,708.53 = 4,382.66 : x
  2. Step 2: Convert to fraction form
    7,034.40/9,708.53 = 4,382.66/x
  3. Step 3: Cross multiply
    7,034.40x = 9,708.53 × 4,382.66
  4. Step 4: Simplify right side
    7,034.40x = 42,549,188.45
  5. Step 5: Solve for x
    x = 42,549,188.45/7,034.40
  6. Step 6: Final answer
    x = 6,048.73

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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.