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Finding the Fourth Proportional to 9,903.12, 13,662.60 and 5,709.84

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Solution

The fourth proportional to 9,903.12, 13,662.60 and 5,709.84 is: 7,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.12 : 13,662.60 = 5,709.84 : x
  2. Step 2: Convert to fraction form
    9,903.12/13,662.60 = 5,709.84/x
  3. Step 3: Cross multiply
    9,903.12x = 13,662.60 × 5,709.84
  4. Step 4: Simplify right side
    9,903.12x = 78,011,259.98
  5. Step 5: Solve for x
    x = 78,011,259.98/9,903.12
  6. Step 6: Final answer
    x = 7,877.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.