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Finding the Fourth Proportional to 9,820.71, 14,733.37 and 3,246.90

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Solution

The fourth proportional to 9,820.71, 14,733.37 and 3,246.90 is: 4,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.71 : 14,733.37 = 3,246.90 : x
  2. Step 2: Convert to fraction form
    9,820.71/14,733.37 = 3,246.90/x
  3. Step 3: Cross multiply
    9,820.71x = 14,733.37 × 3,246.90
  4. Step 4: Simplify right side
    9,820.71x = 47,837,779.05
  5. Step 5: Solve for x
    x = 47,837,779.05/9,820.71
  6. Step 6: Final answer
    x = 4,871.11

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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.