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Finding the Fourth Proportional to 9,693, 13,376.50 and 5,277

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Solution

The fourth proportional to 9,693, 13,376.50 and 5,277 is: 7,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693 : 13,376.50 = 5,277 : x
  2. Step 2: Convert to fraction form
    9,693/13,376.50 = 5,277/x
  3. Step 3: Cross multiply
    9,693x = 13,376.50 × 5,277
  4. Step 4: Simplify right side
    9,693x = 70,587,790.50
  5. Step 5: Solve for x
    x = 70,587,790.50/9,693
  6. Step 6: Final answer
    x = 7,282.35

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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.