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Finding the Fourth Proportional to 9,568.48, 14,348.40 and 9,266.08

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Solution

The fourth proportional to 9,568.48, 14,348.40 and 9,266.08 is: 13,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.48 : 14,348.40 = 9,266.08 : x
  2. Step 2: Convert to fraction form
    9,568.48/14,348.40 = 9,266.08/x
  3. Step 3: Cross multiply
    9,568.48x = 14,348.40 × 9,266.08
  4. Step 4: Simplify right side
    9,568.48x = 132,953,422.27
  5. Step 5: Solve for x
    x = 132,953,422.27/9,568.48
  6. Step 6: Final answer
    x = 13,894.94

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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.