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Finding the Fourth Proportional to 34,654.77, 51,972.93 and 9,693.27

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Solution

The fourth proportional to 34,654.77, 51,972.93 and 9,693.27 is: 14,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.77 : 51,972.93 = 9,693.27 : x
  2. Step 2: Convert to fraction form
    34,654.77/51,972.93 = 9,693.27/x
  3. Step 3: Cross multiply
    34,654.77x = 51,972.93 × 9,693.27
  4. Step 4: Simplify right side
    34,654.77x = 503,787,643.18
  5. Step 5: Solve for x
    x = 503,787,643.18/34,654.77
  6. Step 6: Final answer
    x = 14,537.32

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Why These Related Problems?

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