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Finding the Fourth Proportional to 9,297.30, 12,830.28 and 5,522.28

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Solution

The fourth proportional to 9,297.30, 12,830.28 and 5,522.28 is: 7,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.30 : 12,830.28 = 5,522.28 : x
  2. Step 2: Convert to fraction form
    9,297.30/12,830.28 = 5,522.28/x
  3. Step 3: Cross multiply
    9,297.30x = 12,830.28 × 5,522.28
  4. Step 4: Simplify right side
    9,297.30x = 70,852,398.64
  5. Step 5: Solve for x
    x = 70,852,398.64/9,297.30
  6. Step 6: Final answer
    x = 7,620.75

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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.