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Finding the Fourth Proportional to 9,674.03, 14,486.45 and 6,377.13

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Solution

The fourth proportional to 9,674.03, 14,486.45 and 6,377.13 is: 9,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.03 : 14,486.45 = 6,377.13 : x
  2. Step 2: Convert to fraction form
    9,674.03/14,486.45 = 6,377.13/x
  3. Step 3: Cross multiply
    9,674.03x = 14,486.45 × 6,377.13
  4. Step 4: Simplify right side
    9,674.03x = 92,381,943.00
  5. Step 5: Solve for x
    x = 92,381,943.00/9,674.03
  6. Step 6: Final answer
    x = 9,549.48

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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.