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Finding the Fourth Proportional to 9,021.86, 12,444.76 and 5,834.10

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Solution

The fourth proportional to 9,021.86, 12,444.76 and 5,834.10 is: 8,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.86 : 12,444.76 = 5,834.10 : x
  2. Step 2: Convert to fraction form
    9,021.86/12,444.76 = 5,834.10/x
  3. Step 3: Cross multiply
    9,021.86x = 12,444.76 × 5,834.10
  4. Step 4: Simplify right side
    9,021.86x = 72,603,974.32
  5. Step 5: Solve for x
    x = 72,603,974.32/9,021.86
  6. Step 6: Final answer
    x = 8,047.56

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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.