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Finding the Fourth Proportional to 8,746.32, 12,069.80 and 4,767.44

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Solution

The fourth proportional to 8,746.32, 12,069.80 and 4,767.44 is: 6,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.32 : 12,069.80 = 4,767.44 : x
  2. Step 2: Convert to fraction form
    8,746.32/12,069.80 = 4,767.44/x
  3. Step 3: Cross multiply
    8,746.32x = 12,069.80 × 4,767.44
  4. Step 4: Simplify right side
    8,746.32x = 57,542,047.31
  5. Step 5: Solve for x
    x = 57,542,047.31/8,746.32
  6. Step 6: Final answer
    x = 6,579.00

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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.