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Finding the Fourth Proportional to 30,756.08, 46,104.96 and 9,965

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Solution

The fourth proportional to 30,756.08, 46,104.96 and 9,965 is: 14,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.08 : 46,104.96 = 9,965 : x
  2. Step 2: Convert to fraction form
    30,756.08/46,104.96 = 9,965/x
  3. Step 3: Cross multiply
    30,756.08x = 46,104.96 × 9,965
  4. Step 4: Simplify right side
    30,756.08x = 459,435,926.40
  5. Step 5: Solve for x
    x = 459,435,926.40/30,756.08
  6. Step 6: Final answer
    x = 14,938.05

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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.