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Finding the Fourth Proportional to 9,588.69, 14,364.57 and 5,880.09

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Solution

The fourth proportional to 9,588.69, 14,364.57 and 5,880.09 is: 8,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.69 : 14,364.57 = 5,880.09 : x
  2. Step 2: Convert to fraction form
    9,588.69/14,364.57 = 5,880.09/x
  3. Step 3: Cross multiply
    9,588.69x = 14,364.57 × 5,880.09
  4. Step 4: Simplify right side
    9,588.69x = 84,464,964.41
  5. Step 5: Solve for x
    x = 84,464,964.41/9,588.69
  6. Step 6: Final answer
    x = 8,808.81

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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.