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Finding the Fourth Proportional to 9,476.68, 14,214.96 and 3,237.40

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Solution

The fourth proportional to 9,476.68, 14,214.96 and 3,237.40 is: 4,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.68 : 14,214.96 = 3,237.40 : x
  2. Step 2: Convert to fraction form
    9,476.68/14,214.96 = 3,237.40/x
  3. Step 3: Cross multiply
    9,476.68x = 14,214.96 × 3,237.40
  4. Step 4: Simplify right side
    9,476.68x = 46,019,511.50
  5. Step 5: Solve for x
    x = 46,019,511.50/9,476.68
  6. Step 6: Final answer
    x = 4,856.08

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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.