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Finding the Fourth Proportional to 9,398.68, 14,098.74 and 2,473

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Solution

The fourth proportional to 9,398.68, 14,098.74 and 2,473 is: 3,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.68 : 14,098.74 = 2,473 : x
  2. Step 2: Convert to fraction form
    9,398.68/14,098.74 = 2,473/x
  3. Step 3: Cross multiply
    9,398.68x = 14,098.74 × 2,473
  4. Step 4: Simplify right side
    9,398.68x = 34,866,184.02
  5. Step 5: Solve for x
    x = 34,866,184.02/9,398.68
  6. Step 6: Final answer
    x = 3,709.69

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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.