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Finding the Fourth Proportional to 9,543.84, 13,169.28 and 5,564.04

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Solution

The fourth proportional to 9,543.84, 13,169.28 and 5,564.04 is: 7,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.84 : 13,169.28 = 5,564.04 : x
  2. Step 2: Convert to fraction form
    9,543.84/13,169.28 = 5,564.04/x
  3. Step 3: Cross multiply
    9,543.84x = 13,169.28 × 5,564.04
  4. Step 4: Simplify right side
    9,543.84x = 73,274,400.69
  5. Step 5: Solve for x
    x = 73,274,400.69/9,543.84
  6. Step 6: Final answer
    x = 7,677.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.