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Finding the Fourth Proportional to 9,846.75, 13,588.53 and 5,370.52

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Solution

The fourth proportional to 9,846.75, 13,588.53 and 5,370.52 is: 7,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.75 : 13,588.53 = 5,370.52 : x
  2. Step 2: Convert to fraction form
    9,846.75/13,588.53 = 5,370.52/x
  3. Step 3: Cross multiply
    9,846.75x = 13,588.53 × 5,370.52
  4. Step 4: Simplify right side
    9,846.75x = 72,977,443.50
  5. Step 5: Solve for x
    x = 72,977,443.50/9,846.75
  6. Step 6: Final answer
    x = 7,411.32

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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.