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Finding the Fourth Proportional to 9,129.86, 12,596.54 and 6,149.06

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Solution

The fourth proportional to 9,129.86, 12,596.54 and 6,149.06 is: 8,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.86 : 12,596.54 = 6,149.06 : x
  2. Step 2: Convert to fraction form
    9,129.86/12,596.54 = 6,149.06/x
  3. Step 3: Cross multiply
    9,129.86x = 12,596.54 × 6,149.06
  4. Step 4: Simplify right side
    9,129.86x = 77,456,880.25
  5. Step 5: Solve for x
    x = 77,456,880.25/9,129.86
  6. Step 6: Final answer
    x = 8,483.91

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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.