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Finding the Fourth Proportional to 9,770.99, 13,483.31 and 6,233.81

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Solution

The fourth proportional to 9,770.99, 13,483.31 and 6,233.81 is: 8,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.99 : 13,483.31 = 6,233.81 : x
  2. Step 2: Convert to fraction form
    9,770.99/13,483.31 = 6,233.81/x
  3. Step 3: Cross multiply
    9,770.99x = 13,483.31 × 6,233.81
  4. Step 4: Simplify right side
    9,770.99x = 84,052,442.00
  5. Step 5: Solve for x
    x = 84,052,442.00/9,770.99
  6. Step 6: Final answer
    x = 8,602.25

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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.