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Finding the Fourth Proportional to 9,508.93, 13,122 and 5,259.92

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Solution

The fourth proportional to 9,508.93, 13,122 and 5,259.92 is: 7,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.93 : 13,122 = 5,259.92 : x
  2. Step 2: Convert to fraction form
    9,508.93/13,122 = 5,259.92/x
  3. Step 3: Cross multiply
    9,508.93x = 13,122 × 5,259.92
  4. Step 4: Simplify right side
    9,508.93x = 69,020,604.63
  5. Step 5: Solve for x
    x = 69,020,604.63/9,508.93
  6. Step 6: Final answer
    x = 7,258.51

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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.