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Finding the Fourth Proportional to 9,710.15, 14,562.11 and 3,134.81

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Solution

The fourth proportional to 9,710.15, 14,562.11 and 3,134.81 is: 4,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.15 : 14,562.11 = 3,134.81 : x
  2. Step 2: Convert to fraction form
    9,710.15/14,562.11 = 3,134.81/x
  3. Step 3: Cross multiply
    9,710.15x = 14,562.11 × 3,134.81
  4. Step 4: Simplify right side
    9,710.15x = 45,649,448.05
  5. Step 5: Solve for x
    x = 45,649,448.05/9,710.15
  6. Step 6: Final answer
    x = 4,701.21

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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.