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Finding the Fourth Proportional to 9,686.50, 14,535.21 and 4,139.42

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Solution

The fourth proportional to 9,686.50, 14,535.21 and 4,139.42 is: 6,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.50 : 14,535.21 = 4,139.42 : x
  2. Step 2: Convert to fraction form
    9,686.50/14,535.21 = 4,139.42/x
  3. Step 3: Cross multiply
    9,686.50x = 14,535.21 × 4,139.42
  4. Step 4: Simplify right side
    9,686.50x = 60,167,281.82
  5. Step 5: Solve for x
    x = 60,167,281.82/9,686.50
  6. Step 6: Final answer
    x = 6,211.46

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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.