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Finding the Fourth Proportional to 9,894.14, 14,841.22 and 2,498.68

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Solution

The fourth proportional to 9,894.14, 14,841.22 and 2,498.68 is: 3,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.14 : 14,841.22 = 2,498.68 : x
  2. Step 2: Convert to fraction form
    9,894.14/14,841.22 = 2,498.68/x
  3. Step 3: Cross multiply
    9,894.14x = 14,841.22 × 2,498.68
  4. Step 4: Simplify right side
    9,894.14x = 37,083,459.59
  5. Step 5: Solve for x
    x = 37,083,459.59/9,894.14
  6. Step 6: Final answer
    x = 3,748.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.