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Finding the Fourth Proportional to 9,245.24, 12,758.82 and 5,053.76

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Solution

The fourth proportional to 9,245.24, 12,758.82 and 5,053.76 is: 6,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.24 : 12,758.82 = 5,053.76 : x
  2. Step 2: Convert to fraction form
    9,245.24/12,758.82 = 5,053.76/x
  3. Step 3: Cross multiply
    9,245.24x = 12,758.82 × 5,053.76
  4. Step 4: Simplify right side
    9,245.24x = 64,480,014.16
  5. Step 5: Solve for x
    x = 64,480,014.16/9,245.24
  6. Step 6: Final answer
    x = 6,974.40

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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.