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Finding the Fourth Proportional to 7,095.95, 9,792.30 and 3,952.14

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Solution

The fourth proportional to 7,095.95, 9,792.30 and 3,952.14 is: 5,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.95 : 9,792.30 = 3,952.14 : x
  2. Step 2: Convert to fraction form
    7,095.95/9,792.30 = 3,952.14/x
  3. Step 3: Cross multiply
    7,095.95x = 9,792.30 × 3,952.14
  4. Step 4: Simplify right side
    7,095.95x = 38,700,540.52
  5. Step 5: Solve for x
    x = 38,700,540.52/7,095.95
  6. Step 6: Final answer
    x = 5,453.90

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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.