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Finding the Fourth Proportional to 9,393.84, 12,963.42 and 5,202

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Solution

The fourth proportional to 9,393.84, 12,963.42 and 5,202 is: 7,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.84 : 12,963.42 = 5,202 : x
  2. Step 2: Convert to fraction form
    9,393.84/12,963.42 = 5,202/x
  3. Step 3: Cross multiply
    9,393.84x = 12,963.42 × 5,202
  4. Step 4: Simplify right side
    9,393.84x = 67,435,710.84
  5. Step 5: Solve for x
    x = 67,435,710.84/9,393.84
  6. Step 6: Final answer
    x = 7,178.72

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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.