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Finding the Fourth Proportional to 9,522.99, 14,288.81 and 4,909.23

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Solution

The fourth proportional to 9,522.99, 14,288.81 and 4,909.23 is: 7,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.99 : 14,288.81 = 4,909.23 : x
  2. Step 2: Convert to fraction form
    9,522.99/14,288.81 = 4,909.23/x
  3. Step 3: Cross multiply
    9,522.99x = 14,288.81 × 4,909.23
  4. Step 4: Simplify right side
    9,522.99x = 70,147,030.17
  5. Step 5: Solve for x
    x = 70,147,030.17/9,522.99
  6. Step 6: Final answer
    x = 7,366.07

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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.