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Finding the Fourth Proportional to 9,904.72, 14,857.08 and 4,065.43

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Solution

The fourth proportional to 9,904.72, 14,857.08 and 4,065.43 is: 6,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.72 : 14,857.08 = 4,065.43 : x
  2. Step 2: Convert to fraction form
    9,904.72/14,857.08 = 4,065.43/x
  3. Step 3: Cross multiply
    9,904.72x = 14,857.08 × 4,065.43
  4. Step 4: Simplify right side
    9,904.72x = 60,400,418.74
  5. Step 5: Solve for x
    x = 60,400,418.74/9,904.72
  6. Step 6: Final answer
    x = 6,098.15

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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.