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Finding the Fourth Proportional to 9,364.91, 14,040.42 and 5,666.24

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Solution

The fourth proportional to 9,364.91, 14,040.42 and 5,666.24 is: 8,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.91 : 14,040.42 = 5,666.24 : x
  2. Step 2: Convert to fraction form
    9,364.91/14,040.42 = 5,666.24/x
  3. Step 3: Cross multiply
    9,364.91x = 14,040.42 × 5,666.24
  4. Step 4: Simplify right side
    9,364.91x = 79,556,319.22
  5. Step 5: Solve for x
    x = 79,556,319.22/9,364.91
  6. Step 6: Final answer
    x = 8,495.15

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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.