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Finding the Fourth Proportional to 9,380.04, 12,943.95 and 5,398.32

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Solution

The fourth proportional to 9,380.04, 12,943.95 and 5,398.32 is: 7,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.04 : 12,943.95 = 5,398.32 : x
  2. Step 2: Convert to fraction form
    9,380.04/12,943.95 = 5,398.32/x
  3. Step 3: Cross multiply
    9,380.04x = 12,943.95 × 5,398.32
  4. Step 4: Simplify right side
    9,380.04x = 69,875,584.16
  5. Step 5: Solve for x
    x = 69,875,584.16/9,380.04
  6. Step 6: Final answer
    x = 7,449.39

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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.