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Finding the Fourth Proportional to 9,097.84, 12,555.27 and 5,119.10

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Solution

The fourth proportional to 9,097.84, 12,555.27 and 5,119.10 is: 7,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.84 : 12,555.27 = 5,119.10 : x
  2. Step 2: Convert to fraction form
    9,097.84/12,555.27 = 5,119.10/x
  3. Step 3: Cross multiply
    9,097.84x = 12,555.27 × 5,119.10
  4. Step 4: Simplify right side
    9,097.84x = 64,271,600.68
  5. Step 5: Solve for x
    x = 64,271,600.68/9,097.84
  6. Step 6: Final answer
    x = 7,064.49

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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.