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Finding the Fourth Proportional to 6,429.48, 8,869.74 and 3,776.84

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Solution

The fourth proportional to 6,429.48, 8,869.74 and 3,776.84 is: 5,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.48 : 8,869.74 = 3,776.84 : x
  2. Step 2: Convert to fraction form
    6,429.48/8,869.74 = 3,776.84/x
  3. Step 3: Cross multiply
    6,429.48x = 8,869.74 × 3,776.84
  4. Step 4: Simplify right side
    6,429.48x = 33,499,588.82
  5. Step 5: Solve for x
    x = 33,499,588.82/6,429.48
  6. Step 6: Final answer
    x = 5,210.31

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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.