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Finding the Fourth Proportional to 9,348.57, 12,901.05 and 5,811.77

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Solution

The fourth proportional to 9,348.57, 12,901.05 and 5,811.77 is: 8,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.57 : 12,901.05 = 5,811.77 : x
  2. Step 2: Convert to fraction form
    9,348.57/12,901.05 = 5,811.77/x
  3. Step 3: Cross multiply
    9,348.57x = 12,901.05 × 5,811.77
  4. Step 4: Simplify right side
    9,348.57x = 74,977,870.85
  5. Step 5: Solve for x
    x = 74,977,870.85/9,348.57
  6. Step 6: Final answer
    x = 8,020.25

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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.