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Finding the Fourth Proportional to 9,746.04, 13,449.21 and 5,497.21

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Solution

The fourth proportional to 9,746.04, 13,449.21 and 5,497.21 is: 7,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.04 : 13,449.21 = 5,497.21 : x
  2. Step 2: Convert to fraction form
    9,746.04/13,449.21 = 5,497.21/x
  3. Step 3: Cross multiply
    9,746.04x = 13,449.21 × 5,497.21
  4. Step 4: Simplify right side
    9,746.04x = 73,933,098.08
  5. Step 5: Solve for x
    x = 73,933,098.08/9,746.04
  6. Step 6: Final answer
    x = 7,585.96

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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.