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Finding the Fourth Proportional to 9,245.29, 12,758.49 and 5,266.40

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Solution

The fourth proportional to 9,245.29, 12,758.49 and 5,266.40 is: 7,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.29 : 12,758.49 = 5,266.40 : x
  2. Step 2: Convert to fraction form
    9,245.29/12,758.49 = 5,266.40/x
  3. Step 3: Cross multiply
    9,245.29x = 12,758.49 × 5,266.40
  4. Step 4: Simplify right side
    9,245.29x = 67,191,285.40
  5. Step 5: Solve for x
    x = 67,191,285.40/9,245.29
  6. Step 6: Final answer
    x = 7,267.62

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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.