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Finding the Fourth Proportional to 9,523.45, 13,143.09 and 5,490.93

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Solution

The fourth proportional to 9,523.45, 13,143.09 and 5,490.93 is: 7,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.45 : 13,143.09 = 5,490.93 : x
  2. Step 2: Convert to fraction form
    9,523.45/13,143.09 = 5,490.93/x
  3. Step 3: Cross multiply
    9,523.45x = 13,143.09 × 5,490.93
  4. Step 4: Simplify right side
    9,523.45x = 72,167,787.17
  5. Step 5: Solve for x
    x = 72,167,787.17/9,523.45
  6. Step 6: Final answer
    x = 7,577.90

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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.