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Finding the Fourth Proportional to 6,306.12, 9,465.66 and 6,072.84

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Solution

The fourth proportional to 6,306.12, 9,465.66 and 6,072.84 is: 9,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.12 : 9,465.66 = 6,072.84 : x
  2. Step 2: Convert to fraction form
    6,306.12/9,465.66 = 6,072.84/x
  3. Step 3: Cross multiply
    6,306.12x = 9,465.66 × 6,072.84
  4. Step 4: Simplify right side
    6,306.12x = 57,483,438.67
  5. Step 5: Solve for x
    x = 57,483,438.67/6,306.12
  6. Step 6: Final answer
    x = 9,115.50

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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.