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Finding the Fourth Proportional to 9,630.84, 13,291.78 and 5,439

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Solution

The fourth proportional to 9,630.84, 13,291.78 and 5,439 is: 7,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.84 : 13,291.78 = 5,439 : x
  2. Step 2: Convert to fraction form
    9,630.84/13,291.78 = 5,439/x
  3. Step 3: Cross multiply
    9,630.84x = 13,291.78 × 5,439
  4. Step 4: Simplify right side
    9,630.84x = 72,293,991.42
  5. Step 5: Solve for x
    x = 72,293,991.42/9,630.84
  6. Step 6: Final answer
    x = 7,506.51

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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.