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Finding the Fourth Proportional to 9,686.21, 14,529.32 and 6,770.21

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Solution

The fourth proportional to 9,686.21, 14,529.32 and 6,770.21 is: 10,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.21 : 14,529.32 = 6,770.21 : x
  2. Step 2: Convert to fraction form
    9,686.21/14,529.32 = 6,770.21/x
  3. Step 3: Cross multiply
    9,686.21x = 14,529.32 × 6,770.21
  4. Step 4: Simplify right side
    9,686.21x = 98,366,547.56
  5. Step 5: Solve for x
    x = 98,366,547.56/9,686.21
  6. Step 6: Final answer
    x = 10,155.32

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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.