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Finding the Fourth Proportional to 9,666.17, 13,320.64 and 6,866.81

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Solution

The fourth proportional to 9,666.17, 13,320.64 and 6,866.81 is: 9,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.17 : 13,320.64 = 6,866.81 : x
  2. Step 2: Convert to fraction form
    9,666.17/13,320.64 = 6,866.81/x
  3. Step 3: Cross multiply
    9,666.17x = 13,320.64 × 6,866.81
  4. Step 4: Simplify right side
    9,666.17x = 91,470,269.62
  5. Step 5: Solve for x
    x = 91,470,269.62/9,666.17
  6. Step 6: Final answer
    x = 9,462.93

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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.