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Finding the Fourth Proportional to 9,290.64, 13,937.32 and 4,360.77

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Solution

The fourth proportional to 9,290.64, 13,937.32 and 4,360.77 is: 6,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.64 : 13,937.32 = 4,360.77 : x
  2. Step 2: Convert to fraction form
    9,290.64/13,937.32 = 4,360.77/x
  3. Step 3: Cross multiply
    9,290.64x = 13,937.32 × 4,360.77
  4. Step 4: Simplify right side
    9,290.64x = 60,777,446.94
  5. Step 5: Solve for x
    x = 60,777,446.94/9,290.64
  6. Step 6: Final answer
    x = 6,541.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.