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Finding the Fourth Proportional to 9,693, 14,531.76 and 3,848.04

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Solution

The fourth proportional to 9,693, 14,531.76 and 3,848.04 is: 5,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693 : 14,531.76 = 3,848.04 : x
  2. Step 2: Convert to fraction form
    9,693/14,531.76 = 3,848.04/x
  3. Step 3: Cross multiply
    9,693x = 14,531.76 × 3,848.04
  4. Step 4: Simplify right side
    9,693x = 55,918,793.75
  5. Step 5: Solve for x
    x = 55,918,793.75/9,693
  6. Step 6: Final answer
    x = 5,768.99

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Why These Related Problems?

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