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Finding the Fourth Proportional to 7,162.44, 9,875.02 and 4,640.12

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Solution

The fourth proportional to 7,162.44, 9,875.02 and 4,640.12 is: 6,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.44 : 9,875.02 = 4,640.12 : x
  2. Step 2: Convert to fraction form
    7,162.44/9,875.02 = 4,640.12/x
  3. Step 3: Cross multiply
    7,162.44x = 9,875.02 × 4,640.12
  4. Step 4: Simplify right side
    7,162.44x = 45,821,277.80
  5. Step 5: Solve for x
    x = 45,821,277.80/7,162.44
  6. Step 6: Final answer
    x = 6,397.44

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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.