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Finding the Fourth Proportional to 9,401.69, 12,966.05 and 5,816.08

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Solution

The fourth proportional to 9,401.69, 12,966.05 and 5,816.08 is: 8,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.69 : 12,966.05 = 5,816.08 : x
  2. Step 2: Convert to fraction form
    9,401.69/12,966.05 = 5,816.08/x
  3. Step 3: Cross multiply
    9,401.69x = 12,966.05 × 5,816.08
  4. Step 4: Simplify right side
    9,401.69x = 75,411,570.19
  5. Step 5: Solve for x
    x = 75,411,570.19/9,401.69
  6. Step 6: Final answer
    x = 8,021.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.