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Finding the Fourth Proportional to 9,296.48, 12,829.18 and 5,047.56

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Solution

The fourth proportional to 9,296.48, 12,829.18 and 5,047.56 is: 6,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.48 : 12,829.18 = 5,047.56 : x
  2. Step 2: Convert to fraction form
    9,296.48/12,829.18 = 5,047.56/x
  3. Step 3: Cross multiply
    9,296.48x = 12,829.18 × 5,047.56
  4. Step 4: Simplify right side
    9,296.48x = 64,756,055.80
  5. Step 5: Solve for x
    x = 64,756,055.80/9,296.48
  6. Step 6: Final answer
    x = 6,965.65

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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.