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Finding the Fourth Proportional to 9,200.10, 12,697.08 and 5,424.46

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Solution

The fourth proportional to 9,200.10, 12,697.08 and 5,424.46 is: 7,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.10 : 12,697.08 = 5,424.46 : x
  2. Step 2: Convert to fraction form
    9,200.10/12,697.08 = 5,424.46/x
  3. Step 3: Cross multiply
    9,200.10x = 12,697.08 × 5,424.46
  4. Step 4: Simplify right side
    9,200.10x = 68,874,802.58
  5. Step 5: Solve for x
    x = 68,874,802.58/9,200.10
  6. Step 6: Final answer
    x = 7,486.31

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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.