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Finding the Fourth Proportional to 9,612.41, 13,262.85 and 5,835.48

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Solution

The fourth proportional to 9,612.41, 13,262.85 and 5,835.48 is: 8,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.41 : 13,262.85 = 5,835.48 : x
  2. Step 2: Convert to fraction form
    9,612.41/13,262.85 = 5,835.48/x
  3. Step 3: Cross multiply
    9,612.41x = 13,262.85 × 5,835.48
  4. Step 4: Simplify right side
    9,612.41x = 77,395,095.92
  5. Step 5: Solve for x
    x = 77,395,095.92/9,612.41
  6. Step 6: Final answer
    x = 8,051.58

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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.