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Finding the Fourth Proportional to 9,901.93, 14,852.88 and 9,245.83

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Solution

The fourth proportional to 9,901.93, 14,852.88 and 9,245.83 is: 13,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.93 : 14,852.88 = 9,245.83 : x
  2. Step 2: Convert to fraction form
    9,901.93/14,852.88 = 9,245.83/x
  3. Step 3: Cross multiply
    9,901.93x = 14,852.88 × 9,245.83
  4. Step 4: Simplify right side
    9,901.93x = 137,327,203.49
  5. Step 5: Solve for x
    x = 137,327,203.49/9,901.93
  6. Step 6: Final answer
    x = 13,868.73

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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.