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Finding the Fourth Proportional to 9,699.81, 14,555.18 and 4,769.94

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Solution

The fourth proportional to 9,699.81, 14,555.18 and 4,769.94 is: 7,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.81 : 14,555.18 = 4,769.94 : x
  2. Step 2: Convert to fraction form
    9,699.81/14,555.18 = 4,769.94/x
  3. Step 3: Cross multiply
    9,699.81x = 14,555.18 × 4,769.94
  4. Step 4: Simplify right side
    9,699.81x = 69,427,335.29
  5. Step 5: Solve for x
    x = 69,427,335.29/9,699.81
  6. Step 6: Final answer
    x = 7,157.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.