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Finding the Fourth Proportional to 9,746.25, 13,449.83 and 5,330.25

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Solution

The fourth proportional to 9,746.25, 13,449.83 and 5,330.25 is: 7,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.25 : 13,449.83 = 5,330.25 : x
  2. Step 2: Convert to fraction form
    9,746.25/13,449.83 = 5,330.25/x
  3. Step 3: Cross multiply
    9,746.25x = 13,449.83 × 5,330.25
  4. Step 4: Simplify right side
    9,746.25x = 71,690,929.71
  5. Step 5: Solve for x
    x = 71,690,929.71/9,746.25
  6. Step 6: Final answer
    x = 7,355.75

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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.