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Finding the Fourth Proportional to 9,746.84, 13,451.43 and 5,497.68

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Solution

The fourth proportional to 9,746.84, 13,451.43 and 5,497.68 is: 7,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.84 : 13,451.43 = 5,497.68 : x
  2. Step 2: Convert to fraction form
    9,746.84/13,451.43 = 5,497.68/x
  3. Step 3: Cross multiply
    9,746.84x = 13,451.43 × 5,497.68
  4. Step 4: Simplify right side
    9,746.84x = 73,951,657.68
  5. Step 5: Solve for x
    x = 73,951,657.68/9,746.84
  6. Step 6: Final answer
    x = 7,587.25

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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.