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Finding the Fourth Proportional to 9,729.84, 13,432.08 and 7,601.52

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Solution

The fourth proportional to 9,729.84, 13,432.08 and 7,601.52 is: 10,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.84 : 13,432.08 = 7,601.52 : x
  2. Step 2: Convert to fraction form
    9,729.84/13,432.08 = 7,601.52/x
  3. Step 3: Cross multiply
    9,729.84x = 13,432.08 × 7,601.52
  4. Step 4: Simplify right side
    9,729.84x = 102,104,224.76
  5. Step 5: Solve for x
    x = 102,104,224.76/9,729.84
  6. Step 6: Final answer
    x = 10,493.93

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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.