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Finding the Fourth Proportional to 7,215.86, 9,959.37 and 4,233.26

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Solution

The fourth proportional to 7,215.86, 9,959.37 and 4,233.26 is: 5,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.86 : 9,959.37 = 4,233.26 : x
  2. Step 2: Convert to fraction form
    7,215.86/9,959.37 = 4,233.26/x
  3. Step 3: Cross multiply
    7,215.86x = 9,959.37 × 4,233.26
  4. Step 4: Simplify right side
    7,215.86x = 42,160,602.65
  5. Step 5: Solve for x
    x = 42,160,602.65/7,215.86
  6. Step 6: Final answer
    x = 5,842.77

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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.