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Finding the Fourth Proportional to 9,851.88, 13,592.16 and 6,493.68

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Solution

The fourth proportional to 9,851.88, 13,592.16 and 6,493.68 is: 8,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.88 : 13,592.16 = 6,493.68 : x
  2. Step 2: Convert to fraction form
    9,851.88/13,592.16 = 6,493.68/x
  3. Step 3: Cross multiply
    9,851.88x = 13,592.16 × 6,493.68
  4. Step 4: Simplify right side
    9,851.88x = 88,263,137.55
  5. Step 5: Solve for x
    x = 88,263,137.55/9,851.88
  6. Step 6: Final answer
    x = 8,959.01

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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.