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Finding the Fourth Proportional to 9,621.78, 13,284.18 and 7,857.60

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Solution

The fourth proportional to 9,621.78, 13,284.18 and 7,857.60 is: 10,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.78 : 13,284.18 = 7,857.60 : x
  2. Step 2: Convert to fraction form
    9,621.78/13,284.18 = 7,857.60/x
  3. Step 3: Cross multiply
    9,621.78x = 13,284.18 × 7,857.60
  4. Step 4: Simplify right side
    9,621.78x = 104,381,772.77
  5. Step 5: Solve for x
    x = 104,381,772.77/9,621.78
  6. Step 6: Final answer
    x = 10,848.49

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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.