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Finding the Fourth Proportional to 9,172.57, 13,746.54 and 5,006.34

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Solution

The fourth proportional to 9,172.57, 13,746.54 and 5,006.34 is: 7,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.57 : 13,746.54 = 5,006.34 : x
  2. Step 2: Convert to fraction form
    9,172.57/13,746.54 = 5,006.34/x
  3. Step 3: Cross multiply
    9,172.57x = 13,746.54 × 5,006.34
  4. Step 4: Simplify right side
    9,172.57x = 68,819,853.06
  5. Step 5: Solve for x
    x = 68,819,853.06/9,172.57
  6. Step 6: Final answer
    x = 7,502.79

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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.