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Finding the Fourth Proportional to 7,094.44, 9,781.66 and 4,437.24

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Solution

The fourth proportional to 7,094.44, 9,781.66 and 4,437.24 is: 6,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.44 : 9,781.66 = 4,437.24 : x
  2. Step 2: Convert to fraction form
    7,094.44/9,781.66 = 4,437.24/x
  3. Step 3: Cross multiply
    7,094.44x = 9,781.66 × 4,437.24
  4. Step 4: Simplify right side
    7,094.44x = 43,403,501.92
  5. Step 5: Solve for x
    x = 43,403,501.92/7,094.44
  6. Step 6: Final answer
    x = 6,117.96

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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.