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Finding the Fourth Proportional to 9,215.58, 13,821.93 and 4,020.06

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Solution

The fourth proportional to 9,215.58, 13,821.93 and 4,020.06 is: 6,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.58 : 13,821.93 = 4,020.06 : x
  2. Step 2: Convert to fraction form
    9,215.58/13,821.93 = 4,020.06/x
  3. Step 3: Cross multiply
    9,215.58x = 13,821.93 × 4,020.06
  4. Step 4: Simplify right side
    9,215.58x = 55,564,987.92
  5. Step 5: Solve for x
    x = 55,564,987.92/9,215.58
  6. Step 6: Final answer
    x = 6,029.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.