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Finding the Fourth Proportional to 6,554.71, 9,043.71 and 4,160.40

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Solution

The fourth proportional to 6,554.71, 9,043.71 and 4,160.40 is: 5,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.71 : 9,043.71 = 4,160.40 : x
  2. Step 2: Convert to fraction form
    6,554.71/9,043.71 = 4,160.40/x
  3. Step 3: Cross multiply
    6,554.71x = 9,043.71 × 4,160.40
  4. Step 4: Simplify right side
    6,554.71x = 37,625,451.08
  5. Step 5: Solve for x
    x = 37,625,451.08/6,554.71
  6. Step 6: Final answer
    x = 5,740.22

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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.