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Finding the Fourth Proportional to 9,665.59, 14,473.77 and 6,368.69

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Solution

The fourth proportional to 9,665.59, 14,473.77 and 6,368.69 is: 9,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.59 : 14,473.77 = 6,368.69 : x
  2. Step 2: Convert to fraction form
    9,665.59/14,473.77 = 6,368.69/x
  3. Step 3: Cross multiply
    9,665.59x = 14,473.77 × 6,368.69
  4. Step 4: Simplify right side
    9,665.59x = 92,178,954.26
  5. Step 5: Solve for x
    x = 92,178,954.26/9,665.59
  6. Step 6: Final answer
    x = 9,536.82

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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.