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Finding the Fourth Proportional to 9,580.69, 14,371.03 and 3,007.40

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Solution

The fourth proportional to 9,580.69, 14,371.03 and 3,007.40 is: 4,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.69 : 14,371.03 = 3,007.40 : x
  2. Step 2: Convert to fraction form
    9,580.69/14,371.03 = 3,007.40/x
  3. Step 3: Cross multiply
    9,580.69x = 14,371.03 × 3,007.40
  4. Step 4: Simplify right side
    9,580.69x = 43,219,435.62
  5. Step 5: Solve for x
    x = 43,219,435.62/9,580.69
  6. Step 6: Final answer
    x = 4,511.10

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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.