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Finding the Fourth Proportional to 6,642.40, 9,164.60 and 4,124.64

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Solution

The fourth proportional to 6,642.40, 9,164.60 and 4,124.64 is: 5,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.40 : 9,164.60 = 4,124.64 : x
  2. Step 2: Convert to fraction form
    6,642.40/9,164.60 = 4,124.64/x
  3. Step 3: Cross multiply
    6,642.40x = 9,164.60 × 4,124.64
  4. Step 4: Simplify right side
    6,642.40x = 37,800,675.74
  5. Step 5: Solve for x
    x = 37,800,675.74/6,642.40
  6. Step 6: Final answer
    x = 5,690.82

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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.