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Finding the Fourth Proportional to 9,637.88, 13,301.70 and 6,101.42

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Solution

The fourth proportional to 9,637.88, 13,301.70 and 6,101.42 is: 8,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.88 : 13,301.70 = 6,101.42 : x
  2. Step 2: Convert to fraction form
    9,637.88/13,301.70 = 6,101.42/x
  3. Step 3: Cross multiply
    9,637.88x = 13,301.70 × 6,101.42
  4. Step 4: Simplify right side
    9,637.88x = 81,159,258.41
  5. Step 5: Solve for x
    x = 81,159,258.41/9,637.88
  6. Step 6: Final answer
    x = 8,420.86

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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.