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Finding the Fourth Proportional to 9,814.26, 14,714.10 and 6,686.40

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Solution

The fourth proportional to 9,814.26, 14,714.10 and 6,686.40 is: 10,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.26 : 14,714.10 = 6,686.40 : x
  2. Step 2: Convert to fraction form
    9,814.26/14,714.10 = 6,686.40/x
  3. Step 3: Cross multiply
    9,814.26x = 14,714.10 × 6,686.40
  4. Step 4: Simplify right side
    9,814.26x = 98,384,358.24
  5. Step 5: Solve for x
    x = 98,384,358.24/9,814.26
  6. Step 6: Final answer
    x = 10,024.63

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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.