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Finding the Fourth Proportional to 9,472.29, 14,208.45 and 6,002.25

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Solution

The fourth proportional to 9,472.29, 14,208.45 and 6,002.25 is: 9,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.29 : 14,208.45 = 6,002.25 : x
  2. Step 2: Convert to fraction form
    9,472.29/14,208.45 = 6,002.25/x
  3. Step 3: Cross multiply
    9,472.29x = 14,208.45 × 6,002.25
  4. Step 4: Simplify right side
    9,472.29x = 85,282,669.01
  5. Step 5: Solve for x
    x = 85,282,669.01/9,472.29
  6. Step 6: Final answer
    x = 9,003.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.