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Finding the Fourth Proportional to 9,226, 13,839.12 and 3,070

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Solution

The fourth proportional to 9,226, 13,839.12 and 3,070 is: 4,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226 : 13,839.12 = 3,070 : x
  2. Step 2: Convert to fraction form
    9,226/13,839.12 = 3,070/x
  3. Step 3: Cross multiply
    9,226x = 13,839.12 × 3,070
  4. Step 4: Simplify right side
    9,226x = 42,486,098.40
  5. Step 5: Solve for x
    x = 42,486,098.40/9,226
  6. Step 6: Final answer
    x = 4,605.04

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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.