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Finding the Fourth Proportional to 9,538.98, 14,292.66 and 6,751.86

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Solution

The fourth proportional to 9,538.98, 14,292.66 and 6,751.86 is: 10,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.98 : 14,292.66 = 6,751.86 : x
  2. Step 2: Convert to fraction form
    9,538.98/14,292.66 = 6,751.86/x
  3. Step 3: Cross multiply
    9,538.98x = 14,292.66 × 6,751.86
  4. Step 4: Simplify right side
    9,538.98x = 96,502,039.35
  5. Step 5: Solve for x
    x = 96,502,039.35/9,538.98
  6. Step 6: Final answer
    x = 10,116.60

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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.