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Finding the Fourth Proportional to 9,508.30, 14,264.49 and 4,828.93

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Solution

The fourth proportional to 9,508.30, 14,264.49 and 4,828.93 is: 7,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.30 : 14,264.49 = 4,828.93 : x
  2. Step 2: Convert to fraction form
    9,508.30/14,264.49 = 4,828.93/x
  3. Step 3: Cross multiply
    9,508.30x = 14,264.49 × 4,828.93
  4. Step 4: Simplify right side
    9,508.30x = 68,882,223.70
  5. Step 5: Solve for x
    x = 68,882,223.70/9,508.30
  6. Step 6: Final answer
    x = 7,244.43

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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.