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Finding the Fourth Proportional to 9,352.08, 12,906.48 and 5,160.40

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Solution

The fourth proportional to 9,352.08, 12,906.48 and 5,160.40 is: 7,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.08 : 12,906.48 = 5,160.40 : x
  2. Step 2: Convert to fraction form
    9,352.08/12,906.48 = 5,160.40/x
  3. Step 3: Cross multiply
    9,352.08x = 12,906.48 × 5,160.40
  4. Step 4: Simplify right side
    9,352.08x = 66,602,599.39
  5. Step 5: Solve for x
    x = 66,602,599.39/9,352.08
  6. Step 6: Final answer
    x = 7,121.69

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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.