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Finding the Fourth Proportional to 9,770.74, 13,482.80 and 5,522.18

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Solution

The fourth proportional to 9,770.74, 13,482.80 and 5,522.18 is: 7,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.74 : 13,482.80 = 5,522.18 : x
  2. Step 2: Convert to fraction form
    9,770.74/13,482.80 = 5,522.18/x
  3. Step 3: Cross multiply
    9,770.74x = 13,482.80 × 5,522.18
  4. Step 4: Simplify right side
    9,770.74x = 74,454,420.89
  5. Step 5: Solve for x
    x = 74,454,420.89/9,770.74
  6. Step 6: Final answer
    x = 7,620.15

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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.