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Finding the Fourth Proportional to 9,814.32, 14,717.16 and 3,654

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Solution

The fourth proportional to 9,814.32, 14,717.16 and 3,654 is: 5,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.32 : 14,717.16 = 3,654 : x
  2. Step 2: Convert to fraction form
    9,814.32/14,717.16 = 3,654/x
  3. Step 3: Cross multiply
    9,814.32x = 14,717.16 × 3,654
  4. Step 4: Simplify right side
    9,814.32x = 53,776,502.64
  5. Step 5: Solve for x
    x = 53,776,502.64/9,814.32
  6. Step 6: Final answer
    x = 5,479.39

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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.