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Finding the Fourth Proportional to 9,140.70, 13,699.99 and 4,453.68

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Solution

The fourth proportional to 9,140.70, 13,699.99 and 4,453.68 is: 6,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.70 : 13,699.99 = 4,453.68 : x
  2. Step 2: Convert to fraction form
    9,140.70/13,699.99 = 4,453.68/x
  3. Step 3: Cross multiply
    9,140.70x = 13,699.99 × 4,453.68
  4. Step 4: Simplify right side
    9,140.70x = 61,015,371.46
  5. Step 5: Solve for x
    x = 61,015,371.46/9,140.70
  6. Step 6: Final answer
    x = 6,675.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.