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Finding the Fourth Proportional to 35,760.29, 53,643.47 and 9,464.65

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Solution

The fourth proportional to 35,760.29, 53,643.47 and 9,464.65 is: 14,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760.29 : 53,643.47 = 9,464.65 : x
  2. Step 2: Convert to fraction form
    35,760.29/53,643.47 = 9,464.65/x
  3. Step 3: Cross multiply
    35,760.29x = 53,643.47 × 9,464.65
  4. Step 4: Simplify right side
    35,760.29x = 507,716,486.90
  5. Step 5: Solve for x
    x = 507,716,486.90/35,760.29
  6. Step 6: Final answer
    x = 14,197.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.