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Finding the Fourth Proportional to 9,814.14, 14,714.25 and 4,617.18

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Solution

The fourth proportional to 9,814.14, 14,714.25 and 4,617.18 is: 6,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.14 : 14,714.25 = 4,617.18 : x
  2. Step 2: Convert to fraction form
    9,814.14/14,714.25 = 4,617.18/x
  3. Step 3: Cross multiply
    9,814.14x = 14,714.25 × 4,617.18
  4. Step 4: Simplify right side
    9,814.14x = 67,938,340.82
  5. Step 5: Solve for x
    x = 67,938,340.82/9,814.14
  6. Step 6: Final answer
    x = 6,922.50

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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.