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Finding the Fourth Proportional to 9,652.80, 14,479.48 and 3,411.94

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Solution

The fourth proportional to 9,652.80, 14,479.48 and 3,411.94 is: 5,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.80 : 14,479.48 = 3,411.94 : x
  2. Step 2: Convert to fraction form
    9,652.80/14,479.48 = 3,411.94/x
  3. Step 3: Cross multiply
    9,652.80x = 14,479.48 × 3,411.94
  4. Step 4: Simplify right side
    9,652.80x = 49,403,116.99
  5. Step 5: Solve for x
    x = 49,403,116.99/9,652.80
  6. Step 6: Final answer
    x = 5,118.01

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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.