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Finding the Fourth Proportional to 9,865.68, 13,612.80 and 5,833.14

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Solution

The fourth proportional to 9,865.68, 13,612.80 and 5,833.14 is: 8,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.68 : 13,612.80 = 5,833.14 : x
  2. Step 2: Convert to fraction form
    9,865.68/13,612.80 = 5,833.14/x
  3. Step 3: Cross multiply
    9,865.68x = 13,612.80 × 5,833.14
  4. Step 4: Simplify right side
    9,865.68x = 79,405,368.19
  5. Step 5: Solve for x
    x = 79,405,368.19/9,865.68
  6. Step 6: Final answer
    x = 8,048.65

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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.