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Finding the Fourth Proportional to 9,119.34, 12,585.64 and 5,584.90

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Solution

The fourth proportional to 9,119.34, 12,585.64 and 5,584.90 is: 7,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.34 : 12,585.64 = 5,584.90 : x
  2. Step 2: Convert to fraction form
    9,119.34/12,585.64 = 5,584.90/x
  3. Step 3: Cross multiply
    9,119.34x = 12,585.64 × 5,584.90
  4. Step 4: Simplify right side
    9,119.34x = 70,289,540.84
  5. Step 5: Solve for x
    x = 70,289,540.84/9,119.34
  6. Step 6: Final answer
    x = 7,707.74

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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.