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Finding the Fourth Proportional to 6,632.13, 9,923.65 and 4,001.16

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Solution

The fourth proportional to 6,632.13, 9,923.65 and 4,001.16 is: 5,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.13 : 9,923.65 = 4,001.16 : x
  2. Step 2: Convert to fraction form
    6,632.13/9,923.65 = 4,001.16/x
  3. Step 3: Cross multiply
    6,632.13x = 9,923.65 × 4,001.16
  4. Step 4: Simplify right side
    6,632.13x = 39,706,051.81
  5. Step 5: Solve for x
    x = 39,706,051.81/6,632.13
  6. Step 6: Final answer
    x = 5,986.93

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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.