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Finding the Fourth Proportional to 9,148.68, 12,615.75 and 7,826.76

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Solution

The fourth proportional to 9,148.68, 12,615.75 and 7,826.76 is: 10,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.68 : 12,615.75 = 7,826.76 : x
  2. Step 2: Convert to fraction form
    9,148.68/12,615.75 = 7,826.76/x
  3. Step 3: Cross multiply
    9,148.68x = 12,615.75 × 7,826.76
  4. Step 4: Simplify right side
    9,148.68x = 98,740,447.47
  5. Step 5: Solve for x
    x = 98,740,447.47/9,148.68
  6. Step 6: Final answer
    x = 10,792.86

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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.