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Finding the Fourth Proportional to 9,398.12, 14,093.40 and 6,106.28

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Solution

The fourth proportional to 9,398.12, 14,093.40 and 6,106.28 is: 9,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.12 : 14,093.40 = 6,106.28 : x
  2. Step 2: Convert to fraction form
    9,398.12/14,093.40 = 6,106.28/x
  3. Step 3: Cross multiply
    9,398.12x = 14,093.40 × 6,106.28
  4. Step 4: Simplify right side
    9,398.12x = 86,058,246.55
  5. Step 5: Solve for x
    x = 86,058,246.55/9,398.12
  6. Step 6: Final answer
    x = 9,156.96

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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.