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Finding the Fourth Proportional to 9,911.66, 14,862.11 and 4,358.49

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Solution

The fourth proportional to 9,911.66, 14,862.11 and 4,358.49 is: 6,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.66 : 14,862.11 = 4,358.49 : x
  2. Step 2: Convert to fraction form
    9,911.66/14,862.11 = 4,358.49/x
  3. Step 3: Cross multiply
    9,911.66x = 14,862.11 × 4,358.49
  4. Step 4: Simplify right side
    9,911.66x = 64,776,336.02
  5. Step 5: Solve for x
    x = 64,776,336.02/9,911.66
  6. Step 6: Final answer
    x = 6,535.37

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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.