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Finding the Fourth Proportional to 9,132.29, 13,699.04 and 3,208.46

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Solution

The fourth proportional to 9,132.29, 13,699.04 and 3,208.46 is: 4,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.29 : 13,699.04 = 3,208.46 : x
  2. Step 2: Convert to fraction form
    9,132.29/13,699.04 = 3,208.46/x
  3. Step 3: Cross multiply
    9,132.29x = 13,699.04 × 3,208.46
  4. Step 4: Simplify right side
    9,132.29x = 43,952,737.34
  5. Step 5: Solve for x
    x = 43,952,737.34/9,132.29
  6. Step 6: Final answer
    x = 4,812.89

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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.