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Finding the Fourth Proportional to 35,704.47, 53,562.17 and 9,411.27

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Solution

The fourth proportional to 35,704.47, 53,562.17 and 9,411.27 is: 14,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.47 : 53,562.17 = 9,411.27 : x
  2. Step 2: Convert to fraction form
    35,704.47/53,562.17 = 9,411.27/x
  3. Step 3: Cross multiply
    35,704.47x = 53,562.17 × 9,411.27
  4. Step 4: Simplify right side
    35,704.47x = 504,088,043.66
  5. Step 5: Solve for x
    x = 504,088,043.66/35,704.47
  6. Step 6: Final answer
    x = 14,118.35

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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.