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Finding the Fourth Proportional to 35,760.44, 53,643.29 and 9,465

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Solution

The fourth proportional to 35,760.44, 53,643.29 and 9,465 is: 14,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760.44 : 53,643.29 = 9,465 : x
  2. Step 2: Convert to fraction form
    35,760.44/53,643.29 = 9,465/x
  3. Step 3: Cross multiply
    35,760.44x = 53,643.29 × 9,465
  4. Step 4: Simplify right side
    35,760.44x = 507,733,739.85
  5. Step 5: Solve for x
    x = 507,733,739.85/35,760.44
  6. Step 6: Final answer
    x = 14,198.20

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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.