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Finding the Fourth Proportional to 9,352.04, 12,905.86 and 5,160.28

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Solution

The fourth proportional to 9,352.04, 12,905.86 and 5,160.28 is: 7,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.04 : 12,905.86 = 5,160.28 : x
  2. Step 2: Convert to fraction form
    9,352.04/12,905.86 = 5,160.28/x
  3. Step 3: Cross multiply
    9,352.04x = 12,905.86 × 5,160.28
  4. Step 4: Simplify right side
    9,352.04x = 66,597,851.24
  5. Step 5: Solve for x
    x = 66,597,851.24/9,352.04
  6. Step 6: Final answer
    x = 7,121.21

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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.