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Finding the Fourth Proportional to 9,456.40, 13,044.84 and 5,729.68

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Solution

The fourth proportional to 9,456.40, 13,044.84 and 5,729.68 is: 7,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.40 : 13,044.84 = 5,729.68 : x
  2. Step 2: Convert to fraction form
    9,456.40/13,044.84 = 5,729.68/x
  3. Step 3: Cross multiply
    9,456.40x = 13,044.84 × 5,729.68
  4. Step 4: Simplify right side
    9,456.40x = 74,742,758.85
  5. Step 5: Solve for x
    x = 74,742,758.85/9,456.40
  6. Step 6: Final answer
    x = 7,903.93

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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.