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Finding the Fourth Proportional to 9,775.04, 14,661.82 and 3,111.27

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Solution

The fourth proportional to 9,775.04, 14,661.82 and 3,111.27 is: 4,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.04 : 14,661.82 = 3,111.27 : x
  2. Step 2: Convert to fraction form
    9,775.04/14,661.82 = 3,111.27/x
  3. Step 3: Cross multiply
    9,775.04x = 14,661.82 × 3,111.27
  4. Step 4: Simplify right side
    9,775.04x = 45,616,829.62
  5. Step 5: Solve for x
    x = 45,616,829.62/9,775.04
  6. Step 6: Final answer
    x = 4,666.67

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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.