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Finding the Fourth Proportional to 9,499.22, 13,107.35 and 5,721.47

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Solution

The fourth proportional to 9,499.22, 13,107.35 and 5,721.47 is: 7,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.22 : 13,107.35 = 5,721.47 : x
  2. Step 2: Convert to fraction form
    9,499.22/13,107.35 = 5,721.47/x
  3. Step 3: Cross multiply
    9,499.22x = 13,107.35 × 5,721.47
  4. Step 4: Simplify right side
    9,499.22x = 74,993,281.20
  5. Step 5: Solve for x
    x = 74,993,281.20/9,499.22
  6. Step 6: Final answer
    x = 7,894.68

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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.