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Finding the Fourth Proportional to 9,588.06, 14,387.68 and 4,041.06

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Solution

The fourth proportional to 9,588.06, 14,387.68 and 4,041.06 is: 6,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.06 : 14,387.68 = 4,041.06 : x
  2. Step 2: Convert to fraction form
    9,588.06/14,387.68 = 4,041.06/x
  3. Step 3: Cross multiply
    9,588.06x = 14,387.68 × 4,041.06
  4. Step 4: Simplify right side
    9,588.06x = 58,141,478.14
  5. Step 5: Solve for x
    x = 58,141,478.14/9,588.06
  6. Step 6: Final answer
    x = 6,063.95

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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.