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Finding the Fourth Proportional to 6,943.69, 9,585.41 and 4,429.17

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Solution

The fourth proportional to 6,943.69, 9,585.41 and 4,429.17 is: 6,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.69 : 9,585.41 = 4,429.17 : x
  2. Step 2: Convert to fraction form
    6,943.69/9,585.41 = 4,429.17/x
  3. Step 3: Cross multiply
    6,943.69x = 9,585.41 × 4,429.17
  4. Step 4: Simplify right side
    6,943.69x = 42,455,410.41
  5. Step 5: Solve for x
    x = 42,455,410.41/6,943.69
  6. Step 6: Final answer
    x = 6,114.24

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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.