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Finding the Fourth Proportional to 9,684.10, 14,539.65 and 6,195.70

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Solution

The fourth proportional to 9,684.10, 14,539.65 and 6,195.70 is: 9,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.10 : 14,539.65 = 6,195.70 : x
  2. Step 2: Convert to fraction form
    9,684.10/14,539.65 = 6,195.70/x
  3. Step 3: Cross multiply
    9,684.10x = 14,539.65 × 6,195.70
  4. Step 4: Simplify right side
    9,684.10x = 90,083,309.51
  5. Step 5: Solve for x
    x = 90,083,309.51/9,684.10
  6. Step 6: Final answer
    x = 9,302.19

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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.