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Finding the Fourth Proportional to 9,339.30, 12,888 and 5,147.46

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Solution

The fourth proportional to 9,339.30, 12,888 and 5,147.46 is: 7,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.30 : 12,888 = 5,147.46 : x
  2. Step 2: Convert to fraction form
    9,339.30/12,888 = 5,147.46/x
  3. Step 3: Cross multiply
    9,339.30x = 12,888 × 5,147.46
  4. Step 4: Simplify right side
    9,339.30x = 66,340,464.48
  5. Step 5: Solve for x
    x = 66,340,464.48/9,339.30
  6. Step 6: Final answer
    x = 7,103.37

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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.