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Finding the Fourth Proportional to 9,442, 13,030.77 and 5,251.06

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Solution

The fourth proportional to 9,442, 13,030.77 and 5,251.06 is: 7,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442 : 13,030.77 = 5,251.06 : x
  2. Step 2: Convert to fraction form
    9,442/13,030.77 = 5,251.06/x
  3. Step 3: Cross multiply
    9,442x = 13,030.77 × 5,251.06
  4. Step 4: Simplify right side
    9,442x = 68,425,355.12
  5. Step 5: Solve for x
    x = 68,425,355.12/9,442
  6. Step 6: Final answer
    x = 7,246.91

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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.