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Finding the Fourth Proportional to 9,683.95, 14,524.18 and 2,663.06

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Solution

The fourth proportional to 9,683.95, 14,524.18 and 2,663.06 is: 3,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.95 : 14,524.18 = 2,663.06 : x
  2. Step 2: Convert to fraction form
    9,683.95/14,524.18 = 2,663.06/x
  3. Step 3: Cross multiply
    9,683.95x = 14,524.18 × 2,663.06
  4. Step 4: Simplify right side
    9,683.95x = 38,678,690.17
  5. Step 5: Solve for x
    x = 38,678,690.17/9,683.95
  6. Step 6: Final answer
    x = 3,994.10

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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.