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Finding the Fourth Proportional to 9,352.02, 12,905.28 and 5,160

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Solution

The fourth proportional to 9,352.02, 12,905.28 and 5,160 is: 7,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.02 : 12,905.28 = 5,160 : x
  2. Step 2: Convert to fraction form
    9,352.02/12,905.28 = 5,160/x
  3. Step 3: Cross multiply
    9,352.02x = 12,905.28 × 5,160
  4. Step 4: Simplify right side
    9,352.02x = 66,591,244.80
  5. Step 5: Solve for x
    x = 66,591,244.80/9,352.02
  6. Step 6: Final answer
    x = 7,120.52

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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.