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Finding the Fourth Proportional to 9,645.02, 13,310.07 and 5,396.07

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Solution

The fourth proportional to 9,645.02, 13,310.07 and 5,396.07 is: 7,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.02 : 13,310.07 = 5,396.07 : x
  2. Step 2: Convert to fraction form
    9,645.02/13,310.07 = 5,396.07/x
  3. Step 3: Cross multiply
    9,645.02x = 13,310.07 × 5,396.07
  4. Step 4: Simplify right side
    9,645.02x = 71,822,069.42
  5. Step 5: Solve for x
    x = 71,822,069.42/9,645.02
  6. Step 6: Final answer
    x = 7,446.55

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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.