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Finding the Fourth Proportional to 9,758.91, 14,638.40 and 2,363.36

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Solution

The fourth proportional to 9,758.91, 14,638.40 and 2,363.36 is: 3,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.91 : 14,638.40 = 2,363.36 : x
  2. Step 2: Convert to fraction form
    9,758.91/14,638.40 = 2,363.36/x
  3. Step 3: Cross multiply
    9,758.91x = 14,638.40 × 2,363.36
  4. Step 4: Simplify right side
    9,758.91x = 34,595,809.02
  5. Step 5: Solve for x
    x = 34,595,809.02/9,758.91
  6. Step 6: Final answer
    x = 3,545.05

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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.