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Finding the Fourth Proportional to 9,124.24, 13,702 and 5,634.89

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Solution

The fourth proportional to 9,124.24, 13,702 and 5,634.89 is: 8,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.24 : 13,702 = 5,634.89 : x
  2. Step 2: Convert to fraction form
    9,124.24/13,702 = 5,634.89/x
  3. Step 3: Cross multiply
    9,124.24x = 13,702 × 5,634.89
  4. Step 4: Simplify right side
    9,124.24x = 77,209,262.78
  5. Step 5: Solve for x
    x = 77,209,262.78/9,124.24
  6. Step 6: Final answer
    x = 8,461.99

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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.