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Finding the Fourth Proportional to 9,811.53, 14,718.02 and 3,237.75

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Solution

The fourth proportional to 9,811.53, 14,718.02 and 3,237.75 is: 4,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.53 : 14,718.02 = 3,237.75 : x
  2. Step 2: Convert to fraction form
    9,811.53/14,718.02 = 3,237.75/x
  3. Step 3: Cross multiply
    9,811.53x = 14,718.02 × 3,237.75
  4. Step 4: Simplify right side
    9,811.53x = 47,653,253.07
  5. Step 5: Solve for x
    x = 47,653,253.07/9,811.53
  6. Step 6: Final answer
    x = 4,856.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.