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Finding the Fourth Proportional to 9,846.16, 13,585.72 and 6,262.53

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Solution

The fourth proportional to 9,846.16, 13,585.72 and 6,262.53 is: 8,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.16 : 13,585.72 = 6,262.53 : x
  2. Step 2: Convert to fraction form
    9,846.16/13,585.72 = 6,262.53/x
  3. Step 3: Cross multiply
    9,846.16x = 13,585.72 × 6,262.53
  4. Step 4: Simplify right side
    9,846.16x = 85,080,979.07
  5. Step 5: Solve for x
    x = 85,080,979.07/9,846.16
  6. Step 6: Final answer
    x = 8,641.03

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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.