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Finding the Fourth Proportional to 27,302.91, 40,964.22 and 9,536.19

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Solution

The fourth proportional to 27,302.91, 40,964.22 and 9,536.19 is: 14,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.91 : 40,964.22 = 9,536.19 : x
  2. Step 2: Convert to fraction form
    27,302.91/40,964.22 = 9,536.19/x
  3. Step 3: Cross multiply
    27,302.91x = 40,964.22 × 9,536.19
  4. Step 4: Simplify right side
    27,302.91x = 390,642,585.12
  5. Step 5: Solve for x
    x = 390,642,585.12/27,302.91
  6. Step 6: Final answer
    x = 14,307.73

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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.