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Finding the Fourth Proportional to 9,522.00, 14,288.47 and 7,436.15

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Solution

The fourth proportional to 9,522.00, 14,288.47 and 7,436.15 is: 11,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.00 : 14,288.47 = 7,436.15 : x
  2. Step 2: Convert to fraction form
    9,522.00/14,288.47 = 7,436.15/x
  3. Step 3: Cross multiply
    9,522.00x = 14,288.47 × 7,436.15
  4. Step 4: Simplify right side
    9,522.00x = 106,251,140.70
  5. Step 5: Solve for x
    x = 106,251,140.70/9,522.00
  6. Step 6: Final answer
    x = 11,158.49

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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.