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Finding the Fourth Proportional to 9,578.60, 14,349.23 and 5,405.99

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Solution

The fourth proportional to 9,578.60, 14,349.23 and 5,405.99 is: 8,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.60 : 14,349.23 = 5,405.99 : x
  2. Step 2: Convert to fraction form
    9,578.60/14,349.23 = 5,405.99/x
  3. Step 3: Cross multiply
    9,578.60x = 14,349.23 × 5,405.99
  4. Step 4: Simplify right side
    9,578.60x = 77,571,780.89
  5. Step 5: Solve for x
    x = 77,571,780.89/9,578.60
  6. Step 6: Final answer
    x = 8,098.44

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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.