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Finding the Fourth Proportional to 9,075.64, 12,522.24 and 5,296.60

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Solution

The fourth proportional to 9,075.64, 12,522.24 and 5,296.60 is: 7,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.64 : 12,522.24 = 5,296.60 : x
  2. Step 2: Convert to fraction form
    9,075.64/12,522.24 = 5,296.60/x
  3. Step 3: Cross multiply
    9,075.64x = 12,522.24 × 5,296.60
  4. Step 4: Simplify right side
    9,075.64x = 66,325,296.38
  5. Step 5: Solve for x
    x = 66,325,296.38/9,075.64
  6. Step 6: Final answer
    x = 7,308.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.