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Finding the Fourth Proportional to 9,340.17, 12,889.47 and 5,148.42

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Solution

The fourth proportional to 9,340.17, 12,889.47 and 5,148.42 is: 7,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.17 : 12,889.47 = 5,148.42 : x
  2. Step 2: Convert to fraction form
    9,340.17/12,889.47 = 5,148.42/x
  3. Step 3: Cross multiply
    9,340.17x = 12,889.47 × 5,148.42
  4. Step 4: Simplify right side
    9,340.17x = 66,360,405.14
  5. Step 5: Solve for x
    x = 66,360,405.14/9,340.17
  6. Step 6: Final answer
    x = 7,104.84

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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.