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Finding the Fourth Proportional to 9,572.54, 13,210.83 and 5,381.42

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Solution

The fourth proportional to 9,572.54, 13,210.83 and 5,381.42 is: 7,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.54 : 13,210.83 = 5,381.42 : x
  2. Step 2: Convert to fraction form
    9,572.54/13,210.83 = 5,381.42/x
  3. Step 3: Cross multiply
    9,572.54x = 13,210.83 × 5,381.42
  4. Step 4: Simplify right side
    9,572.54x = 71,093,024.78
  5. Step 5: Solve for x
    x = 71,093,024.78/9,572.54
  6. Step 6: Final answer
    x = 7,426.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.