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Finding the Fourth Proportional to 8,723.63, 12,038.36 and 4,947.14

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Solution

The fourth proportional to 8,723.63, 12,038.36 and 4,947.14 is: 6,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.63 : 12,038.36 = 4,947.14 : x
  2. Step 2: Convert to fraction form
    8,723.63/12,038.36 = 4,947.14/x
  3. Step 3: Cross multiply
    8,723.63x = 12,038.36 × 4,947.14
  4. Step 4: Simplify right side
    8,723.63x = 59,555,457.65
  5. Step 5: Solve for x
    x = 59,555,457.65/8,723.63
  6. Step 6: Final answer
    x = 6,826.91

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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.