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Finding the Fourth Proportional to 9,851.44, 13,596.80 and 6,316.08

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Solution

The fourth proportional to 9,851.44, 13,596.80 and 6,316.08 is: 8,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.44 : 13,596.80 = 6,316.08 : x
  2. Step 2: Convert to fraction form
    9,851.44/13,596.80 = 6,316.08/x
  3. Step 3: Cross multiply
    9,851.44x = 13,596.80 × 6,316.08
  4. Step 4: Simplify right side
    9,851.44x = 85,878,476.54
  5. Step 5: Solve for x
    x = 85,878,476.54/9,851.44
  6. Step 6: Final answer
    x = 8,717.35

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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.