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Finding the Fourth Proportional to 9,763.99, 14,646.64 and 3,840.41

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Solution

The fourth proportional to 9,763.99, 14,646.64 and 3,840.41 is: 5,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.99 : 14,646.64 = 3,840.41 : x
  2. Step 2: Convert to fraction form
    9,763.99/14,646.64 = 3,840.41/x
  3. Step 3: Cross multiply
    9,763.99x = 14,646.64 × 3,840.41
  4. Step 4: Simplify right side
    9,763.99x = 56,249,102.72
  5. Step 5: Solve for x
    x = 56,249,102.72/9,763.99
  6. Step 6: Final answer
    x = 5,760.87

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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.