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Finding the Fourth Proportional to 9,841.60, 13,586.34 and 6,260.16

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Solution

The fourth proportional to 9,841.60, 13,586.34 and 6,260.16 is: 8,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.60 : 13,586.34 = 6,260.16 : x
  2. Step 2: Convert to fraction form
    9,841.60/13,586.34 = 6,260.16/x
  3. Step 3: Cross multiply
    9,841.60x = 13,586.34 × 6,260.16
  4. Step 4: Simplify right side
    9,841.60x = 85,052,662.21
  5. Step 5: Solve for x
    x = 85,052,662.21/9,841.60
  6. Step 6: Final answer
    x = 8,642.16

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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.