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Finding the Fourth Proportional to 9,544.53, 14,320.44 and 5,389.23

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Solution

The fourth proportional to 9,544.53, 14,320.44 and 5,389.23 is: 8,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.53 : 14,320.44 = 5,389.23 : x
  2. Step 2: Convert to fraction form
    9,544.53/14,320.44 = 5,389.23/x
  3. Step 3: Cross multiply
    9,544.53x = 14,320.44 × 5,389.23
  4. Step 4: Simplify right side
    9,544.53x = 77,176,117.92
  5. Step 5: Solve for x
    x = 77,176,117.92/9,544.53
  6. Step 6: Final answer
    x = 8,085.90

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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.