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Finding the Fourth Proportional to 9,897.50, 14,852.73 and 3,741.50

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Solution

The fourth proportional to 9,897.50, 14,852.73 and 3,741.50 is: 5,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.50 : 14,852.73 = 3,741.50 : x
  2. Step 2: Convert to fraction form
    9,897.50/14,852.73 = 3,741.50/x
  3. Step 3: Cross multiply
    9,897.50x = 14,852.73 × 3,741.50
  4. Step 4: Simplify right side
    9,897.50x = 55,571,489.30
  5. Step 5: Solve for x
    x = 55,571,489.30/9,897.50
  6. Step 6: Final answer
    x = 5,614.70

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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.