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Finding the Fourth Proportional to 9,204.16, 12,701.76 and 5,012.32

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Solution

The fourth proportional to 9,204.16, 12,701.76 and 5,012.32 is: 6,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.16 : 12,701.76 = 5,012.32 : x
  2. Step 2: Convert to fraction form
    9,204.16/12,701.76 = 5,012.32/x
  3. Step 3: Cross multiply
    9,204.16x = 12,701.76 × 5,012.32
  4. Step 4: Simplify right side
    9,204.16x = 63,665,285.68
  5. Step 5: Solve for x
    x = 63,665,285.68/9,204.16
  6. Step 6: Final answer
    x = 6,917.01

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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.