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Finding the Fourth Proportional to 9,672, 14,501.44 and 6,207.36

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Solution

The fourth proportional to 9,672, 14,501.44 and 6,207.36 is: 9,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672 : 14,501.44 = 6,207.36 : x
  2. Step 2: Convert to fraction form
    9,672/14,501.44 = 6,207.36/x
  3. Step 3: Cross multiply
    9,672x = 14,501.44 × 6,207.36
  4. Step 4: Simplify right side
    9,672x = 90,015,658.60
  5. Step 5: Solve for x
    x = 90,015,658.60/9,672
  6. Step 6: Final answer
    x = 9,306.83

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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.