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Finding the Fourth Proportional to 9,894, 14,837.96 and 6,516.64

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Solution

The fourth proportional to 9,894, 14,837.96 and 6,516.64 is: 9,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894 : 14,837.96 = 6,516.64 : x
  2. Step 2: Convert to fraction form
    9,894/14,837.96 = 6,516.64/x
  3. Step 3: Cross multiply
    9,894x = 14,837.96 × 6,516.64
  4. Step 4: Simplify right side
    9,894x = 96,693,643.65
  5. Step 5: Solve for x
    x = 96,693,643.65/9,894
  6. Step 6: Final answer
    x = 9,772.96

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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.