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Finding the Fourth Proportional to 9,685.59, 14,505.32 and 6,726.99

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Solution

The fourth proportional to 9,685.59, 14,505.32 and 6,726.99 is: 10,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.59 : 14,505.32 = 6,726.99 : x
  2. Step 2: Convert to fraction form
    9,685.59/14,505.32 = 6,726.99/x
  3. Step 3: Cross multiply
    9,685.59x = 14,505.32 × 6,726.99
  4. Step 4: Simplify right side
    9,685.59x = 97,577,054.56
  5. Step 5: Solve for x
    x = 97,577,054.56/9,685.59
  6. Step 6: Final answer
    x = 10,074.46

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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.