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Finding the Fourth Proportional to 9,846, 13,588.02 and 5,654.52

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Solution

The fourth proportional to 9,846, 13,588.02 and 5,654.52 is: 7,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 13,588.02 = 5,654.52 : x
  2. Step 2: Convert to fraction form
    9,846/13,588.02 = 5,654.52/x
  3. Step 3: Cross multiply
    9,846x = 13,588.02 × 5,654.52
  4. Step 4: Simplify right side
    9,846x = 76,833,730.85
  5. Step 5: Solve for x
    x = 76,833,730.85/9,846
  6. Step 6: Final answer
    x = 7,803.55

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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.