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Finding the Fourth Proportional to 9,191.34, 13,788.30 and 4,262.28

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Solution

The fourth proportional to 9,191.34, 13,788.30 and 4,262.28 is: 6,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.34 : 13,788.30 = 4,262.28 : x
  2. Step 2: Convert to fraction form
    9,191.34/13,788.30 = 4,262.28/x
  3. Step 3: Cross multiply
    9,191.34x = 13,788.30 × 4,262.28
  4. Step 4: Simplify right side
    9,191.34x = 58,769,595.32
  5. Step 5: Solve for x
    x = 58,769,595.32/9,191.34
  6. Step 6: Final answer
    x = 6,394.02

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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.