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Finding the Fourth Proportional to 9,614.84, 13,269.78 and 5,637.53

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Solution

The fourth proportional to 9,614.84, 13,269.78 and 5,637.53 is: 7,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.84 : 13,269.78 = 5,637.53 : x
  2. Step 2: Convert to fraction form
    9,614.84/13,269.78 = 5,637.53/x
  3. Step 3: Cross multiply
    9,614.84x = 13,269.78 × 5,637.53
  4. Step 4: Simplify right side
    9,614.84x = 74,808,816.02
  5. Step 5: Solve for x
    x = 74,808,816.02/9,614.84
  6. Step 6: Final answer
    x = 7,780.56

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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.