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Finding the Fourth Proportional to 9,278.48, 12,806.76 and 5,739.68

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Solution

The fourth proportional to 9,278.48, 12,806.76 and 5,739.68 is: 7,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.48 : 12,806.76 = 5,739.68 : x
  2. Step 2: Convert to fraction form
    9,278.48/12,806.76 = 5,739.68/x
  3. Step 3: Cross multiply
    9,278.48x = 12,806.76 × 5,739.68
  4. Step 4: Simplify right side
    9,278.48x = 73,506,704.24
  5. Step 5: Solve for x
    x = 73,506,704.24/9,278.48
  6. Step 6: Final answer
    x = 7,922.28

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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.