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Finding the Fourth Proportional to 9,862.02, 14,707.49 and 8,410.50

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Solution

The fourth proportional to 9,862.02, 14,707.49 and 8,410.50 is: 12,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.02 : 14,707.49 = 8,410.50 : x
  2. Step 2: Convert to fraction form
    9,862.02/14,707.49 = 8,410.50/x
  3. Step 3: Cross multiply
    9,862.02x = 14,707.49 × 8,410.50
  4. Step 4: Simplify right side
    9,862.02x = 123,697,344.65
  5. Step 5: Solve for x
    x = 123,697,344.65/9,862.02
  6. Step 6: Final answer
    x = 12,542.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.