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Finding the Fourth Proportional to 6,662.32, 9,190.36 and 4,642.53

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Solution

The fourth proportional to 6,662.32, 9,190.36 and 4,642.53 is: 6,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.32 : 9,190.36 = 4,642.53 : x
  2. Step 2: Convert to fraction form
    6,662.32/9,190.36 = 4,642.53/x
  3. Step 3: Cross multiply
    6,662.32x = 9,190.36 × 4,642.53
  4. Step 4: Simplify right side
    6,662.32x = 42,666,498.80
  5. Step 5: Solve for x
    x = 42,666,498.80/6,662.32
  6. Step 6: Final answer
    x = 6,404.16

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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.