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Finding the Fourth Proportional to 9,091.46, 13,642.98 and 3,897.32

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Solution

The fourth proportional to 9,091.46, 13,642.98 and 3,897.32 is: 5,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.46 : 13,642.98 = 3,897.32 : x
  2. Step 2: Convert to fraction form
    9,091.46/13,642.98 = 3,897.32/x
  3. Step 3: Cross multiply
    9,091.46x = 13,642.98 × 3,897.32
  4. Step 4: Simplify right side
    9,091.46x = 53,171,058.81
  5. Step 5: Solve for x
    x = 53,171,058.81/9,091.46
  6. Step 6: Final answer
    x = 5,848.46

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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.