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Finding the Fourth Proportional to 6,536.34, 9,020.52 and 3,848.45

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Solution

The fourth proportional to 6,536.34, 9,020.52 and 3,848.45 is: 5,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.34 : 9,020.52 = 3,848.45 : x
  2. Step 2: Convert to fraction form
    6,536.34/9,020.52 = 3,848.45/x
  3. Step 3: Cross multiply
    6,536.34x = 9,020.52 × 3,848.45
  4. Step 4: Simplify right side
    6,536.34x = 34,714,975.09
  5. Step 5: Solve for x
    x = 34,714,975.09/6,536.34
  6. Step 6: Final answer
    x = 5,311.07

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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.