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Finding the Fourth Proportional to 9,724.64, 14,558.87 and 5,709.87

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Solution

The fourth proportional to 9,724.64, 14,558.87 and 5,709.87 is: 8,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.64 : 14,558.87 = 5,709.87 : x
  2. Step 2: Convert to fraction form
    9,724.64/14,558.87 = 5,709.87/x
  3. Step 3: Cross multiply
    9,724.64x = 14,558.87 × 5,709.87
  4. Step 4: Simplify right side
    9,724.64x = 83,129,269.32
  5. Step 5: Solve for x
    x = 83,129,269.32/9,724.64
  6. Step 6: Final answer
    x = 8,548.32

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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.