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Finding the Fourth Proportional to 9,732, 13,455.76 and 9,296.80

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Solution

The fourth proportional to 9,732, 13,455.76 and 9,296.80 is: 12,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732 : 13,455.76 = 9,296.80 : x
  2. Step 2: Convert to fraction form
    9,732/13,455.76 = 9,296.80/x
  3. Step 3: Cross multiply
    9,732x = 13,455.76 × 9,296.80
  4. Step 4: Simplify right side
    9,732x = 125,095,509.57
  5. Step 5: Solve for x
    x = 125,095,509.57/9,732
  6. Step 6: Final answer
    x = 12,854.04

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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.