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Finding the Fourth Proportional to 9,765.60, 13,478.40 and 6,232.80

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Solution

The fourth proportional to 9,765.60, 13,478.40 and 6,232.80 is: 8,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.60 : 13,478.40 = 6,232.80 : x
  2. Step 2: Convert to fraction form
    9,765.60/13,478.40 = 6,232.80/x
  3. Step 3: Cross multiply
    9,765.60x = 13,478.40 × 6,232.80
  4. Step 4: Simplify right side
    9,765.60x = 84,008,171.52
  5. Step 5: Solve for x
    x = 84,008,171.52/9,765.60
  6. Step 6: Final answer
    x = 8,602.46

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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.