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Finding the Fourth Proportional to 7,225.48, 9,970.86 and 4,081.78

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Solution

The fourth proportional to 7,225.48, 9,970.86 and 4,081.78 is: 5,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.48 : 9,970.86 = 4,081.78 : x
  2. Step 2: Convert to fraction form
    7,225.48/9,970.86 = 4,081.78/x
  3. Step 3: Cross multiply
    7,225.48x = 9,970.86 × 4,081.78
  4. Step 4: Simplify right side
    7,225.48x = 40,698,856.93
  5. Step 5: Solve for x
    x = 40,698,856.93/7,225.48
  6. Step 6: Final answer
    x = 5,632.69

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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.