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Finding the Fourth Proportional to 9,973, 14,933.34 and 6,862.60

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Solution

The fourth proportional to 9,973, 14,933.34 and 6,862.60 is: 10,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973 : 14,933.34 = 6,862.60 : x
  2. Step 2: Convert to fraction form
    9,973/14,933.34 = 6,862.60/x
  3. Step 3: Cross multiply
    9,973x = 14,933.34 × 6,862.60
  4. Step 4: Simplify right side
    9,973x = 102,481,539.08
  5. Step 5: Solve for x
    x = 102,481,539.08/9,973
  6. Step 6: Final answer
    x = 10,275.90

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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.