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Finding the Fourth Proportional to 9,032.64, 13,537.41 and 7,857.78

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Solution

The fourth proportional to 9,032.64, 13,537.41 and 7,857.78 is: 11,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.64 : 13,537.41 = 7,857.78 : x
  2. Step 2: Convert to fraction form
    9,032.64/13,537.41 = 7,857.78/x
  3. Step 3: Cross multiply
    9,032.64x = 13,537.41 × 7,857.78
  4. Step 4: Simplify right side
    9,032.64x = 106,373,989.55
  5. Step 5: Solve for x
    x = 106,373,989.55/9,032.64
  6. Step 6: Final answer
    x = 11,776.62

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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.