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Finding the Fourth Proportional to 7,225.14, 9,970.86 and 4,081.32

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Solution

The fourth proportional to 7,225.14, 9,970.86 and 4,081.32 is: 5,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.14 : 9,970.86 = 4,081.32 : x
  2. Step 2: Convert to fraction form
    7,225.14/9,970.86 = 4,081.32/x
  3. Step 3: Cross multiply
    7,225.14x = 9,970.86 × 4,081.32
  4. Step 4: Simplify right side
    7,225.14x = 40,694,270.34
  5. Step 5: Solve for x
    x = 40,694,270.34/7,225.14
  6. Step 6: Final answer
    x = 5,632.32

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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.