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Finding the Fourth Proportional to 9,582.68, 14,373.99 and 3,009.38

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Solution

The fourth proportional to 9,582.68, 14,373.99 and 3,009.38 is: 4,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.68 : 14,373.99 = 3,009.38 : x
  2. Step 2: Convert to fraction form
    9,582.68/14,373.99 = 3,009.38/x
  3. Step 3: Cross multiply
    9,582.68x = 14,373.99 × 3,009.38
  4. Step 4: Simplify right side
    9,582.68x = 43,256,726.16
  5. Step 5: Solve for x
    x = 43,256,726.16/9,582.68
  6. Step 6: Final answer
    x = 4,514.06

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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.