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Finding the Fourth Proportional to 8,977.64, 12,391.25 and 5,828.36

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Solution

The fourth proportional to 8,977.64, 12,391.25 and 5,828.36 is: 8,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.64 : 12,391.25 = 5,828.36 : x
  2. Step 2: Convert to fraction form
    8,977.64/12,391.25 = 5,828.36/x
  3. Step 3: Cross multiply
    8,977.64x = 12,391.25 × 5,828.36
  4. Step 4: Simplify right side
    8,977.64x = 72,220,574.75
  5. Step 5: Solve for x
    x = 72,220,574.75/8,977.64
  6. Step 6: Final answer
    x = 8,044.50

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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.