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Finding the Fourth Proportional to 9,513, 14,264.64 and 5,571.99

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Solution

The fourth proportional to 9,513, 14,264.64 and 5,571.99 is: 8,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513 : 14,264.64 = 5,571.99 : x
  2. Step 2: Convert to fraction form
    9,513/14,264.64 = 5,571.99/x
  3. Step 3: Cross multiply
    9,513x = 14,264.64 × 5,571.99
  4. Step 4: Simplify right side
    9,513x = 79,482,431.43
  5. Step 5: Solve for x
    x = 79,482,431.43/9,513
  6. Step 6: Final answer
    x = 8,355.14

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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.