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Finding the Fourth Proportional to 9,222.59, 13,830.71 and 5,707.24

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Solution

The fourth proportional to 9,222.59, 13,830.71 and 5,707.24 is: 8,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.59 : 13,830.71 = 5,707.24 : x
  2. Step 2: Convert to fraction form
    9,222.59/13,830.71 = 5,707.24/x
  3. Step 3: Cross multiply
    9,222.59x = 13,830.71 × 5,707.24
  4. Step 4: Simplify right side
    9,222.59x = 78,935,118.23
  5. Step 5: Solve for x
    x = 78,935,118.23/9,222.59
  6. Step 6: Final answer
    x = 8,558.89

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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.