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Finding the Fourth Proportional to 9,849.96, 14,783.58 and 4,311.72

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Solution

The fourth proportional to 9,849.96, 14,783.58 and 4,311.72 is: 6,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.96 : 14,783.58 = 4,311.72 : x
  2. Step 2: Convert to fraction form
    9,849.96/14,783.58 = 4,311.72/x
  3. Step 3: Cross multiply
    9,849.96x = 14,783.58 × 4,311.72
  4. Step 4: Simplify right side
    9,849.96x = 63,742,657.56
  5. Step 5: Solve for x
    x = 63,742,657.56/9,849.96
  6. Step 6: Final answer
    x = 6,471.36

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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.