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Finding the Fourth Proportional to 9,724.32, 14,582.88 and 5,824.44

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Solution

The fourth proportional to 9,724.32, 14,582.88 and 5,824.44 is: 8,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.32 : 14,582.88 = 5,824.44 : x
  2. Step 2: Convert to fraction form
    9,724.32/14,582.88 = 5,824.44/x
  3. Step 3: Cross multiply
    9,724.32x = 14,582.88 × 5,824.44
  4. Step 4: Simplify right side
    9,724.32x = 84,937,109.59
  5. Step 5: Solve for x
    x = 84,937,109.59/9,724.32
  6. Step 6: Final answer
    x = 8,734.50

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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.