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Finding the Fourth Proportional to 9,637.14, 13,301.48 and 6,274.10

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Solution

The fourth proportional to 9,637.14, 13,301.48 and 6,274.10 is: 8,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.14 : 13,301.48 = 6,274.10 : x
  2. Step 2: Convert to fraction form
    9,637.14/13,301.48 = 6,274.10/x
  3. Step 3: Cross multiply
    9,637.14x = 13,301.48 × 6,274.10
  4. Step 4: Simplify right side
    9,637.14x = 83,454,817.55
  5. Step 5: Solve for x
    x = 83,454,817.55/9,637.14
  6. Step 6: Final answer
    x = 8,659.71

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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.