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Finding the Fourth Proportional to 9,550.69, 14,326.03 and 2,977.40

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Solution

The fourth proportional to 9,550.69, 14,326.03 and 2,977.40 is: 4,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.69 : 14,326.03 = 2,977.40 : x
  2. Step 2: Convert to fraction form
    9,550.69/14,326.03 = 2,977.40/x
  3. Step 3: Cross multiply
    9,550.69x = 14,326.03 × 2,977.40
  4. Step 4: Simplify right side
    9,550.69x = 42,654,321.72
  5. Step 5: Solve for x
    x = 42,654,321.72/9,550.69
  6. Step 6: Final answer
    x = 4,466.10

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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.