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Finding the Fourth Proportional to 9,973.35, 14,933.70 and 7,989.66

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Solution

The fourth proportional to 9,973.35, 14,933.70 and 7,989.66 is: 11,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.35 : 14,933.70 = 7,989.66 : x
  2. Step 2: Convert to fraction form
    9,973.35/14,933.70 = 7,989.66/x
  3. Step 3: Cross multiply
    9,973.35x = 14,933.70 × 7,989.66
  4. Step 4: Simplify right side
    9,973.35x = 119,315,185.54
  5. Step 5: Solve for x
    x = 119,315,185.54/9,973.35
  6. Step 6: Final answer
    x = 11,963.40

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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.