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Finding the Fourth Proportional to 9,770.31, 13,482.48 and 5,521.86

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Solution

The fourth proportional to 9,770.31, 13,482.48 and 5,521.86 is: 7,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.31 : 13,482.48 = 5,521.86 : x
  2. Step 2: Convert to fraction form
    9,770.31/13,482.48 = 5,521.86/x
  3. Step 3: Cross multiply
    9,770.31x = 13,482.48 × 5,521.86
  4. Step 4: Simplify right side
    9,770.31x = 74,448,367.01
  5. Step 5: Solve for x
    x = 74,448,367.01/9,770.31
  6. Step 6: Final answer
    x = 7,619.86

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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.