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Finding the Fourth Proportional to 9,762.57, 14,646.11 and 3,189.24

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Solution

The fourth proportional to 9,762.57, 14,646.11 and 3,189.24 is: 4,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.57 : 14,646.11 = 3,189.24 : x
  2. Step 2: Convert to fraction form
    9,762.57/14,646.11 = 3,189.24/x
  3. Step 3: Cross multiply
    9,762.57x = 14,646.11 × 3,189.24
  4. Step 4: Simplify right side
    9,762.57x = 46,709,943.91
  5. Step 5: Solve for x
    x = 46,709,943.91/9,762.57
  6. Step 6: Final answer
    x = 4,784.60

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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.