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Finding the Fourth Proportional to 9,246, 13,860.54 and 3,398.16

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Solution

The fourth proportional to 9,246, 13,860.54 and 3,398.16 is: 5,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246 : 13,860.54 = 3,398.16 : x
  2. Step 2: Convert to fraction form
    9,246/13,860.54 = 3,398.16/x
  3. Step 3: Cross multiply
    9,246x = 13,860.54 × 3,398.16
  4. Step 4: Simplify right side
    9,246x = 47,100,332.61
  5. Step 5: Solve for x
    x = 47,100,332.61/9,246
  6. Step 6: Final answer
    x = 5,094.13

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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.