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Finding the Fourth Proportional to 9,657.10, 14,501.85 and 6,384.70

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Solution

The fourth proportional to 9,657.10, 14,501.85 and 6,384.70 is: 9,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.10 : 14,501.85 = 6,384.70 : x
  2. Step 2: Convert to fraction form
    9,657.10/14,501.85 = 6,384.70/x
  3. Step 3: Cross multiply
    9,657.10x = 14,501.85 × 6,384.70
  4. Step 4: Simplify right side
    9,657.10x = 92,589,961.70
  5. Step 5: Solve for x
    x = 92,589,961.70/9,657.10
  6. Step 6: Final answer
    x = 9,587.76

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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.