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Finding the Fourth Proportional to 34,934.36, 52,409.24 and 9,973.84

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Solution

The fourth proportional to 34,934.36, 52,409.24 and 9,973.84 is: 14,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,934.36 : 52,409.24 = 9,973.84 : x
  2. Step 2: Convert to fraction form
    34,934.36/52,409.24 = 9,973.84/x
  3. Step 3: Cross multiply
    34,934.36x = 52,409.24 × 9,973.84
  4. Step 4: Simplify right side
    34,934.36x = 522,721,374.28
  5. Step 5: Solve for x
    x = 522,721,374.28/34,934.36
  6. Step 6: Final answer
    x = 14,962.96

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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.