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Finding the Fourth Proportional to 9,846.48, 13,588.23 and 5,866.74

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Solution

The fourth proportional to 9,846.48, 13,588.23 and 5,866.74 is: 8,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.48 : 13,588.23 = 5,866.74 : x
  2. Step 2: Convert to fraction form
    9,846.48/13,588.23 = 5,866.74/x
  3. Step 3: Cross multiply
    9,846.48x = 13,588.23 × 5,866.74
  4. Step 4: Simplify right side
    9,846.48x = 79,718,612.47
  5. Step 5: Solve for x
    x = 79,718,612.47/9,846.48
  6. Step 6: Final answer
    x = 8,096.15

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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.