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Finding the Fourth Proportional to 9,257.68, 13,886.54 and 3,101.68

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Solution

The fourth proportional to 9,257.68, 13,886.54 and 3,101.68 is: 4,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.68 : 13,886.54 = 3,101.68 : x
  2. Step 2: Convert to fraction form
    9,257.68/13,886.54 = 3,101.68/x
  3. Step 3: Cross multiply
    9,257.68x = 13,886.54 × 3,101.68
  4. Step 4: Simplify right side
    9,257.68x = 43,071,603.39
  5. Step 5: Solve for x
    x = 43,071,603.39/9,257.68
  6. Step 6: Final answer
    x = 4,652.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.