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Finding the Fourth Proportional to 9,116, 13,672.78 and 3,565.48

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Solution

The fourth proportional to 9,116, 13,672.78 and 3,565.48 is: 5,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116 : 13,672.78 = 3,565.48 : x
  2. Step 2: Convert to fraction form
    9,116/13,672.78 = 3,565.48/x
  3. Step 3: Cross multiply
    9,116x = 13,672.78 × 3,565.48
  4. Step 4: Simplify right side
    9,116x = 48,750,023.63
  5. Step 5: Solve for x
    x = 48,750,023.63/9,116
  6. Step 6: Final answer
    x = 5,347.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.