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Finding the Fourth Proportional to 9,746.69, 13,447.13 and 5,497.07

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Solution

The fourth proportional to 9,746.69, 13,447.13 and 5,497.07 is: 7,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.69 : 13,447.13 = 5,497.07 : x
  2. Step 2: Convert to fraction form
    9,746.69/13,447.13 = 5,497.07/x
  3. Step 3: Cross multiply
    9,746.69x = 13,447.13 × 5,497.07
  4. Step 4: Simplify right side
    9,746.69x = 73,919,720.19
  5. Step 5: Solve for x
    x = 73,919,720.19/9,746.69
  6. Step 6: Final answer
    x = 7,584.09

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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.