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Finding the Fourth Proportional to 9,769.32, 14,656.14 and 5,384.52

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Solution

The fourth proportional to 9,769.32, 14,656.14 and 5,384.52 is: 8,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.32 : 14,656.14 = 5,384.52 : x
  2. Step 2: Convert to fraction form
    9,769.32/14,656.14 = 5,384.52/x
  3. Step 3: Cross multiply
    9,769.32x = 14,656.14 × 5,384.52
  4. Step 4: Simplify right side
    9,769.32x = 78,916,278.95
  5. Step 5: Solve for x
    x = 78,916,278.95/9,769.32
  6. Step 6: Final answer
    x = 8,077.97

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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.