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Finding the Fourth Proportional to 9,340.76, 12,889.62 and 5,564.20

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Solution

The fourth proportional to 9,340.76, 12,889.62 and 5,564.20 is: 7,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.76 : 12,889.62 = 5,564.20 : x
  2. Step 2: Convert to fraction form
    9,340.76/12,889.62 = 5,564.20/x
  3. Step 3: Cross multiply
    9,340.76x = 12,889.62 × 5,564.20
  4. Step 4: Simplify right side
    9,340.76x = 71,720,423.60
  5. Step 5: Solve for x
    x = 71,720,423.60/9,340.76
  6. Step 6: Final answer
    x = 7,678.22

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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.