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Finding the Fourth Proportional to 35,641.80, 53,462.70 and 9,349.20

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Solution

The fourth proportional to 35,641.80, 53,462.70 and 9,349.20 is: 14,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.80 : 53,462.70 = 9,349.20 : x
  2. Step 2: Convert to fraction form
    35,641.80/53,462.70 = 9,349.20/x
  3. Step 3: Cross multiply
    35,641.80x = 53,462.70 × 9,349.20
  4. Step 4: Simplify right side
    35,641.80x = 499,833,474.84
  5. Step 5: Solve for x
    x = 499,833,474.84/35,641.80
  6. Step 6: Final answer
    x = 14,023.80

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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.