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Finding the Fourth Proportional to 9,294.76, 12,825.97 and 5,315.23

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Solution

The fourth proportional to 9,294.76, 12,825.97 and 5,315.23 is: 7,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.76 : 12,825.97 = 5,315.23 : x
  2. Step 2: Convert to fraction form
    9,294.76/12,825.97 = 5,315.23/x
  3. Step 3: Cross multiply
    9,294.76x = 12,825.97 × 5,315.23
  4. Step 4: Simplify right side
    9,294.76x = 68,172,980.52
  5. Step 5: Solve for x
    x = 68,172,980.52/9,294.76
  6. Step 6: Final answer
    x = 7,334.56

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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.