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Finding the Fourth Proportional to 9,452.40, 13,053.74 and 7,790.28

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Solution

The fourth proportional to 9,452.40, 13,053.74 and 7,790.28 is: 10,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.40 : 13,053.74 = 7,790.28 : x
  2. Step 2: Convert to fraction form
    9,452.40/13,053.74 = 7,790.28/x
  3. Step 3: Cross multiply
    9,452.40x = 13,053.74 × 7,790.28
  4. Step 4: Simplify right side
    9,452.40x = 101,692,289.65
  5. Step 5: Solve for x
    x = 101,692,289.65/9,452.40
  6. Step 6: Final answer
    x = 10,758.36

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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.