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Finding the Fourth Proportional to 9,148.92, 12,625.74 and 5,170.08

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Solution

The fourth proportional to 9,148.92, 12,625.74 and 5,170.08 is: 7,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.92 : 12,625.74 = 5,170.08 : x
  2. Step 2: Convert to fraction form
    9,148.92/12,625.74 = 5,170.08/x
  3. Step 3: Cross multiply
    9,148.92x = 12,625.74 × 5,170.08
  4. Step 4: Simplify right side
    9,148.92x = 65,276,085.86
  5. Step 5: Solve for x
    x = 65,276,085.86/9,148.92
  6. Step 6: Final answer
    x = 7,134.84

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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.