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Finding the Fourth Proportional to 9,390.12, 14,085.63 and 7,743.66

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Solution

The fourth proportional to 9,390.12, 14,085.63 and 7,743.66 is: 11,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.12 : 14,085.63 = 7,743.66 : x
  2. Step 2: Convert to fraction form
    9,390.12/14,085.63 = 7,743.66/x
  3. Step 3: Cross multiply
    9,390.12x = 14,085.63 × 7,743.66
  4. Step 4: Simplify right side
    9,390.12x = 109,074,276.78
  5. Step 5: Solve for x
    x = 109,074,276.78/9,390.12
  6. Step 6: Final answer
    x = 11,615.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.