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Finding the Fourth Proportional to 9,807.60, 13,511.60 and 6,818.24

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Solution

The fourth proportional to 9,807.60, 13,511.60 and 6,818.24 is: 9,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.60 : 13,511.60 = 6,818.24 : x
  2. Step 2: Convert to fraction form
    9,807.60/13,511.60 = 6,818.24/x
  3. Step 3: Cross multiply
    9,807.60x = 13,511.60 × 6,818.24
  4. Step 4: Simplify right side
    9,807.60x = 92,125,229.93
  5. Step 5: Solve for x
    x = 92,125,229.93/9,807.60
  6. Step 6: Final answer
    x = 9,393.25

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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.