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Finding the Fourth Proportional to 9,657.66, 14,486.48 and 3,084.35

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Solution

The fourth proportional to 9,657.66, 14,486.48 and 3,084.35 is: 4,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.66 : 14,486.48 = 3,084.35 : x
  2. Step 2: Convert to fraction form
    9,657.66/14,486.48 = 3,084.35/x
  3. Step 3: Cross multiply
    9,657.66x = 14,486.48 × 3,084.35
  4. Step 4: Simplify right side
    9,657.66x = 44,681,433.54
  5. Step 5: Solve for x
    x = 44,681,433.54/9,657.66
  6. Step 6: Final answer
    x = 4,626.53

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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.