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Finding the Fourth Proportional to 9,770.30, 13,482.47 and 5,521.85

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Solution

The fourth proportional to 9,770.30, 13,482.47 and 5,521.85 is: 7,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.30 : 13,482.47 = 5,521.85 : x
  2. Step 2: Convert to fraction form
    9,770.30/13,482.47 = 5,521.85/x
  3. Step 3: Cross multiply
    9,770.30x = 13,482.47 × 5,521.85
  4. Step 4: Simplify right side
    9,770.30x = 74,448,176.97
  5. Step 5: Solve for x
    x = 74,448,176.97/9,770.30
  6. Step 6: Final answer
    x = 7,619.85

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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.