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Finding the Fourth Proportional to 9,612.70, 13,266.45 and 5,835

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Solution

The fourth proportional to 9,612.70, 13,266.45 and 5,835 is: 8,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.70 : 13,266.45 = 5,835 : x
  2. Step 2: Convert to fraction form
    9,612.70/13,266.45 = 5,835/x
  3. Step 3: Cross multiply
    9,612.70x = 13,266.45 × 5,835
  4. Step 4: Simplify right side
    9,612.70x = 77,409,735.75
  5. Step 5: Solve for x
    x = 77,409,735.75/9,612.70
  6. Step 6: Final answer
    x = 8,052.86

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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.