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Finding the Fourth Proportional to 9,867.84, 14,793.12 and 4,932.48

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Solution

The fourth proportional to 9,867.84, 14,793.12 and 4,932.48 is: 7,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.84 : 14,793.12 = 4,932.48 : x
  2. Step 2: Convert to fraction form
    9,867.84/14,793.12 = 4,932.48/x
  3. Step 3: Cross multiply
    9,867.84x = 14,793.12 × 4,932.48
  4. Step 4: Simplify right side
    9,867.84x = 72,966,768.54
  5. Step 5: Solve for x
    x = 72,966,768.54/9,867.84
  6. Step 6: Final answer
    x = 7,394.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.