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Finding the Fourth Proportional to 9,563.16, 14,332.50 and 7,715.14

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Solution

The fourth proportional to 9,563.16, 14,332.50 and 7,715.14 is: 11,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.16 : 14,332.50 = 7,715.14 : x
  2. Step 2: Convert to fraction form
    9,563.16/14,332.50 = 7,715.14/x
  3. Step 3: Cross multiply
    9,563.16x = 14,332.50 × 7,715.14
  4. Step 4: Simplify right side
    9,563.16x = 110,577,244.05
  5. Step 5: Solve for x
    x = 110,577,244.05/9,563.16
  6. Step 6: Final answer
    x = 11,562.84

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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.