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Finding the Fourth Proportional to 7,052.77, 9,726.78 and 4,662.87

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Solution

The fourth proportional to 7,052.77, 9,726.78 and 4,662.87 is: 6,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.77 : 9,726.78 = 4,662.87 : x
  2. Step 2: Convert to fraction form
    7,052.77/9,726.78 = 4,662.87/x
  3. Step 3: Cross multiply
    7,052.77x = 9,726.78 × 4,662.87
  4. Step 4: Simplify right side
    7,052.77x = 45,354,691.67
  5. Step 5: Solve for x
    x = 45,354,691.67/7,052.77
  6. Step 6: Final answer
    x = 6,430.76

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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.