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Finding the Fourth Proportional to 9,148.06, 12,631.98 and 6,173.74

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Solution

The fourth proportional to 9,148.06, 12,631.98 and 6,173.74 is: 8,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.06 : 12,631.98 = 6,173.74 : x
  2. Step 2: Convert to fraction form
    9,148.06/12,631.98 = 6,173.74/x
  3. Step 3: Cross multiply
    9,148.06x = 12,631.98 × 6,173.74
  4. Step 4: Simplify right side
    9,148.06x = 77,986,560.21
  5. Step 5: Solve for x
    x = 77,986,560.21/9,148.06
  6. Step 6: Final answer
    x = 8,524.93

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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.