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Finding the Fourth Proportional to 6,292.50, 9,475.46 and 4,660.62

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Solution

The fourth proportional to 6,292.50, 9,475.46 and 4,660.62 is: 7,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.50 : 9,475.46 = 4,660.62 : x
  2. Step 2: Convert to fraction form
    6,292.50/9,475.46 = 4,660.62/x
  3. Step 3: Cross multiply
    6,292.50x = 9,475.46 × 4,660.62
  4. Step 4: Simplify right side
    6,292.50x = 44,161,495.08
  5. Step 5: Solve for x
    x = 44,161,495.08/6,292.50
  6. Step 6: Final answer
    x = 7,018.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.