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Finding the Fourth Proportional to 9,820.55, 14,733.14 and 3,246.74

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Solution

The fourth proportional to 9,820.55, 14,733.14 and 3,246.74 is: 4,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.55 : 14,733.14 = 3,246.74 : x
  2. Step 2: Convert to fraction form
    9,820.55/14,733.14 = 3,246.74/x
  3. Step 3: Cross multiply
    9,820.55x = 14,733.14 × 3,246.74
  4. Step 4: Simplify right side
    9,820.55x = 47,834,585.06
  5. Step 5: Solve for x
    x = 47,834,585.06/9,820.55
  6. Step 6: Final answer
    x = 4,870.86

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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.