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Finding the Fourth Proportional to 9,277.32, 13,892.90 and 6,490.94

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Solution

The fourth proportional to 9,277.32, 13,892.90 and 6,490.94 is: 9,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.32 : 13,892.90 = 6,490.94 : x
  2. Step 2: Convert to fraction form
    9,277.32/13,892.90 = 6,490.94/x
  3. Step 3: Cross multiply
    9,277.32x = 13,892.90 × 6,490.94
  4. Step 4: Simplify right side
    9,277.32x = 90,177,980.33
  5. Step 5: Solve for x
    x = 90,177,980.33/9,277.32
  6. Step 6: Final answer
    x = 9,720.27

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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.