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Finding the Fourth Proportional to 6,574.60, 9,073.32 and 3,742.06

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Solution

The fourth proportional to 6,574.60, 9,073.32 and 3,742.06 is: 5,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.60 : 9,073.32 = 3,742.06 : x
  2. Step 2: Convert to fraction form
    6,574.60/9,073.32 = 3,742.06/x
  3. Step 3: Cross multiply
    6,574.60x = 9,073.32 × 3,742.06
  4. Step 4: Simplify right side
    6,574.60x = 33,952,907.84
  5. Step 5: Solve for x
    x = 33,952,907.84/6,574.60
  6. Step 6: Final answer
    x = 5,164.25

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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.