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Finding the Fourth Proportional to 9,508.19, 14,266.94 and 4,581.90

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Solution

The fourth proportional to 9,508.19, 14,266.94 and 4,581.90 is: 6,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.19 : 14,266.94 = 4,581.90 : x
  2. Step 2: Convert to fraction form
    9,508.19/14,266.94 = 4,581.90/x
  3. Step 3: Cross multiply
    9,508.19x = 14,266.94 × 4,581.90
  4. Step 4: Simplify right side
    9,508.19x = 65,369,669.48
  5. Step 5: Solve for x
    x = 65,369,669.48/9,508.19
  6. Step 6: Final answer
    x = 6,875.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.