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Finding the Fourth Proportional to 35,646.91, 53,466.24 and 9,353.70

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Solution

The fourth proportional to 35,646.91, 53,466.24 and 9,353.70 is: 14,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.91 : 53,466.24 = 9,353.70 : x
  2. Step 2: Convert to fraction form
    35,646.91/53,466.24 = 9,353.70/x
  3. Step 3: Cross multiply
    35,646.91x = 53,466.24 × 9,353.70
  4. Step 4: Simplify right side
    35,646.91x = 500,107,204.16
  5. Step 5: Solve for x
    x = 500,107,204.16/35,646.91
  6. Step 6: Final answer
    x = 14,029.47

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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.