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Finding the Fourth Proportional to 35,642.40, 53,463.60 and 9,349.80

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Solution

The fourth proportional to 35,642.40, 53,463.60 and 9,349.80 is: 14,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.40 : 53,463.60 = 9,349.80 : x
  2. Step 2: Convert to fraction form
    35,642.40/53,463.60 = 9,349.80/x
  3. Step 3: Cross multiply
    35,642.40x = 53,463.60 × 9,349.80
  4. Step 4: Simplify right side
    35,642.40x = 499,873,967.28
  5. Step 5: Solve for x
    x = 499,873,967.28/35,642.40
  6. Step 6: Final answer
    x = 14,024.70

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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.