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Finding the Fourth Proportional to 9,612.14, 13,264.76 and 5,420.39

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Solution

The fourth proportional to 9,612.14, 13,264.76 and 5,420.39 is: 7,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.14 : 13,264.76 = 5,420.39 : x
  2. Step 2: Convert to fraction form
    9,612.14/13,264.76 = 5,420.39/x
  3. Step 3: Cross multiply
    9,612.14x = 13,264.76 × 5,420.39
  4. Step 4: Simplify right side
    9,612.14x = 71,900,145.35
  5. Step 5: Solve for x
    x = 71,900,145.35/9,612.14
  6. Step 6: Final answer
    x = 7,480.14

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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.