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Finding the Fourth Proportional to 9,294.10, 12,826.06 and 5,315.58

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Solution

The fourth proportional to 9,294.10, 12,826.06 and 5,315.58 is: 7,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.10 : 12,826.06 = 5,315.58 : x
  2. Step 2: Convert to fraction form
    9,294.10/12,826.06 = 5,315.58/x
  3. Step 3: Cross multiply
    9,294.10x = 12,826.06 × 5,315.58
  4. Step 4: Simplify right side
    9,294.10x = 68,177,948.01
  5. Step 5: Solve for x
    x = 68,177,948.01/9,294.10
  6. Step 6: Final answer
    x = 7,335.62

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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.