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Finding the Fourth Proportional to 9,770.24, 13,482.11 and 5,521.68

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Solution

The fourth proportional to 9,770.24, 13,482.11 and 5,521.68 is: 7,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.24 : 13,482.11 = 5,521.68 : x
  2. Step 2: Convert to fraction form
    9,770.24/13,482.11 = 5,521.68/x
  3. Step 3: Cross multiply
    9,770.24x = 13,482.11 × 5,521.68
  4. Step 4: Simplify right side
    9,770.24x = 74,443,869.54
  5. Step 5: Solve for x
    x = 74,443,869.54/9,770.24
  6. Step 6: Final answer
    x = 7,619.46

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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.