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Finding the Fourth Proportional to 9,582.39, 14,356.48 and 5,197.05

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Solution

The fourth proportional to 9,582.39, 14,356.48 and 5,197.05 is: 7,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.39 : 14,356.48 = 5,197.05 : x
  2. Step 2: Convert to fraction form
    9,582.39/14,356.48 = 5,197.05/x
  3. Step 3: Cross multiply
    9,582.39x = 14,356.48 × 5,197.05
  4. Step 4: Simplify right side
    9,582.39x = 74,611,259.61
  5. Step 5: Solve for x
    x = 74,611,259.61/9,582.39
  6. Step 6: Final answer
    x = 7,786.29

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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.