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Finding the Fourth Proportional to 6,663.44, 9,191.91 and 4,643.66

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Solution

The fourth proportional to 6,663.44, 9,191.91 and 4,643.66 is: 6,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.44 : 9,191.91 = 4,643.66 : x
  2. Step 2: Convert to fraction form
    6,663.44/9,191.91 = 4,643.66/x
  3. Step 3: Cross multiply
    6,663.44x = 9,191.91 × 4,643.66
  4. Step 4: Simplify right side
    6,663.44x = 42,684,145.18
  5. Step 5: Solve for x
    x = 42,684,145.18/6,663.44
  6. Step 6: Final answer
    x = 6,405.72

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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.