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Finding the Fourth Proportional to 9,703.28, 14,554.80 and 2,777.84

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Solution

The fourth proportional to 9,703.28, 14,554.80 and 2,777.84 is: 4,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.28 : 14,554.80 = 2,777.84 : x
  2. Step 2: Convert to fraction form
    9,703.28/14,554.80 = 2,777.84/x
  3. Step 3: Cross multiply
    9,703.28x = 14,554.80 × 2,777.84
  4. Step 4: Simplify right side
    9,703.28x = 40,430,905.63
  5. Step 5: Solve for x
    x = 40,430,905.63/9,703.28
  6. Step 6: Final answer
    x = 4,166.73

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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.