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Finding the Fourth Proportional to 6,869.34, 9,469.44 and 4,873.50

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Solution

The fourth proportional to 6,869.34, 9,469.44 and 4,873.50 is: 6,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.34 : 9,469.44 = 4,873.50 : x
  2. Step 2: Convert to fraction form
    6,869.34/9,469.44 = 4,873.50/x
  3. Step 3: Cross multiply
    6,869.34x = 9,469.44 × 4,873.50
  4. Step 4: Simplify right side
    6,869.34x = 46,149,315.84
  5. Step 5: Solve for x
    x = 46,149,315.84/6,869.34
  6. Step 6: Final answer
    x = 6,718.16

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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.