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Finding the Fourth Proportional to 9,931.60, 13,705.38 and 5,394.22

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Solution

The fourth proportional to 9,931.60, 13,705.38 and 5,394.22 is: 7,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.60 : 13,705.38 = 5,394.22 : x
  2. Step 2: Convert to fraction form
    9,931.60/13,705.38 = 5,394.22/x
  3. Step 3: Cross multiply
    9,931.60x = 13,705.38 × 5,394.22
  4. Step 4: Simplify right side
    9,931.60x = 73,929,834.90
  5. Step 5: Solve for x
    x = 73,929,834.90/9,931.60
  6. Step 6: Final answer
    x = 7,443.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.