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Finding the Fourth Proportional to 9,259.80, 12,778.46 and 5,010.86

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Solution

The fourth proportional to 9,259.80, 12,778.46 and 5,010.86 is: 6,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.80 : 12,778.46 = 5,010.86 : x
  2. Step 2: Convert to fraction form
    9,259.80/12,778.46 = 5,010.86/x
  3. Step 3: Cross multiply
    9,259.80x = 12,778.46 × 5,010.86
  4. Step 4: Simplify right side
    9,259.80x = 64,031,074.08
  5. Step 5: Solve for x
    x = 64,031,074.08/9,259.80
  6. Step 6: Final answer
    x = 6,914.95

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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.