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Finding the Fourth Proportional to 7,126.71, 9,832.46 and 4,612.00

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Solution

The fourth proportional to 7,126.71, 9,832.46 and 4,612.00 is: 6,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.71 : 9,832.46 = 4,612.00 : x
  2. Step 2: Convert to fraction form
    7,126.71/9,832.46 = 4,612.00/x
  3. Step 3: Cross multiply
    7,126.71x = 9,832.46 × 4,612.00
  4. Step 4: Simplify right side
    7,126.71x = 45,347,276.31
  5. Step 5: Solve for x
    x = 45,347,276.31/7,126.71
  6. Step 6: Final answer
    x = 6,363.00

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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.