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Finding the Fourth Proportional to 9,567.78, 13,204.74 and 5,376

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Solution

The fourth proportional to 9,567.78, 13,204.74 and 5,376 is: 7,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.78 : 13,204.74 = 5,376 : x
  2. Step 2: Convert to fraction form
    9,567.78/13,204.74 = 5,376/x
  3. Step 3: Cross multiply
    9,567.78x = 13,204.74 × 5,376
  4. Step 4: Simplify right side
    9,567.78x = 70,988,682.24
  5. Step 5: Solve for x
    x = 70,988,682.24/9,567.78
  6. Step 6: Final answer
    x = 7,419.56

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Why These Related Problems?

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