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Finding the Fourth Proportional to 9,654.84, 13,323.96 and 5,463

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Solution

The fourth proportional to 9,654.84, 13,323.96 and 5,463 is: 7,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.84 : 13,323.96 = 5,463 : x
  2. Step 2: Convert to fraction form
    9,654.84/13,323.96 = 5,463/x
  3. Step 3: Cross multiply
    9,654.84x = 13,323.96 × 5,463
  4. Step 4: Simplify right side
    9,654.84x = 72,788,793.48
  5. Step 5: Solve for x
    x = 72,788,793.48/9,654.84
  6. Step 6: Final answer
    x = 7,539.10

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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.