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Finding the Fourth Proportional to 9,582.22, 14,389.68 and 5,208.22

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Solution

The fourth proportional to 9,582.22, 14,389.68 and 5,208.22 is: 7,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.22 : 14,389.68 = 5,208.22 : x
  2. Step 2: Convert to fraction form
    9,582.22/14,389.68 = 5,208.22/x
  3. Step 3: Cross multiply
    9,582.22x = 14,389.68 × 5,208.22
  4. Step 4: Simplify right side
    9,582.22x = 74,944,619.17
  5. Step 5: Solve for x
    x = 74,944,619.17/9,582.22
  6. Step 6: Final answer
    x = 7,821.22

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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.