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Finding the Fourth Proportional to 9,846.68, 13,588.35 and 5,370.44

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Solution

The fourth proportional to 9,846.68, 13,588.35 and 5,370.44 is: 7,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.68 : 13,588.35 = 5,370.44 : x
  2. Step 2: Convert to fraction form
    9,846.68/13,588.35 = 5,370.44/x
  3. Step 3: Cross multiply
    9,846.68x = 13,588.35 × 5,370.44
  4. Step 4: Simplify right side
    9,846.68x = 72,975,418.37
  5. Step 5: Solve for x
    x = 72,975,418.37/9,846.68
  6. Step 6: Final answer
    x = 7,411.17

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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.