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Finding the Fourth Proportional to 7,019.33, 9,686.26 and 3,832.00

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Solution

The fourth proportional to 7,019.33, 9,686.26 and 3,832.00 is: 5,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.33 : 9,686.26 = 3,832.00 : x
  2. Step 2: Convert to fraction form
    7,019.33/9,686.26 = 3,832.00/x
  3. Step 3: Cross multiply
    7,019.33x = 9,686.26 × 3,832.00
  4. Step 4: Simplify right side
    7,019.33x = 37,117,714.52
  5. Step 5: Solve for x
    x = 37,117,714.52/7,019.33
  6. Step 6: Final answer
    x = 5,287.93

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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.