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Finding the Fourth Proportional to 9,894.18, 14,846.74 and 5,514.11

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Solution

The fourth proportional to 9,894.18, 14,846.74 and 5,514.11 is: 8,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.18 : 14,846.74 = 5,514.11 : x
  2. Step 2: Convert to fraction form
    9,894.18/14,846.74 = 5,514.11/x
  3. Step 3: Cross multiply
    9,894.18x = 14,846.74 × 5,514.11
  4. Step 4: Simplify right side
    9,894.18x = 81,866,455.70
  5. Step 5: Solve for x
    x = 81,866,455.70/9,894.18
  6. Step 6: Final answer
    x = 8,274.20

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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.