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Finding the Fourth Proportional to 9,567.80, 13,204.76 and 5,376

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Solution

The fourth proportional to 9,567.80, 13,204.76 and 5,376 is: 7,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.80 : 13,204.76 = 5,376 : x
  2. Step 2: Convert to fraction form
    9,567.80/13,204.76 = 5,376/x
  3. Step 3: Cross multiply
    9,567.80x = 13,204.76 × 5,376
  4. Step 4: Simplify right side
    9,567.80x = 70,988,789.76
  5. Step 5: Solve for x
    x = 70,988,789.76/9,567.80
  6. Step 6: Final answer
    x = 7,419.55

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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.