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Finding the Fourth Proportional to 9,225.24, 12,730.82 and 5,033.50

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Solution

The fourth proportional to 9,225.24, 12,730.82 and 5,033.50 is: 6,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.24 : 12,730.82 = 5,033.50 : x
  2. Step 2: Convert to fraction form
    9,225.24/12,730.82 = 5,033.50/x
  3. Step 3: Cross multiply
    9,225.24x = 12,730.82 × 5,033.50
  4. Step 4: Simplify right side
    9,225.24x = 64,080,582.47
  5. Step 5: Solve for x
    x = 64,080,582.47/9,225.24
  6. Step 6: Final answer
    x = 6,946.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.