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Finding the Fourth Proportional to 9,685.06, 14,525.99 and 9,054.63

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Solution

The fourth proportional to 9,685.06, 14,525.99 and 9,054.63 is: 13,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.06 : 14,525.99 = 9,054.63 : x
  2. Step 2: Convert to fraction form
    9,685.06/14,525.99 = 9,054.63/x
  3. Step 3: Cross multiply
    9,685.06x = 14,525.99 × 9,054.63
  4. Step 4: Simplify right side
    9,685.06x = 131,527,487.47
  5. Step 5: Solve for x
    x = 131,527,487.47/9,685.06
  6. Step 6: Final answer
    x = 13,580.45

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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.