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Finding the Fourth Proportional to 9,712.26, 14,570.46 and 5,554.26

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Solution

The fourth proportional to 9,712.26, 14,570.46 and 5,554.26 is: 8,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.26 : 14,570.46 = 5,554.26 : x
  2. Step 2: Convert to fraction form
    9,712.26/14,570.46 = 5,554.26/x
  3. Step 3: Cross multiply
    9,712.26x = 14,570.46 × 5,554.26
  4. Step 4: Simplify right side
    9,712.26x = 80,928,123.16
  5. Step 5: Solve for x
    x = 80,928,123.16/9,712.26
  6. Step 6: Final answer
    x = 8,332.57

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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.