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Finding the Fourth Proportional to 9,275.96, 12,800.58 and 5,297.06

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Solution

The fourth proportional to 9,275.96, 12,800.58 and 5,297.06 is: 7,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.96 : 12,800.58 = 5,297.06 : x
  2. Step 2: Convert to fraction form
    9,275.96/12,800.58 = 5,297.06/x
  3. Step 3: Cross multiply
    9,275.96x = 12,800.58 × 5,297.06
  4. Step 4: Simplify right side
    9,275.96x = 67,805,440.29
  5. Step 5: Solve for x
    x = 67,805,440.29/9,275.96
  6. Step 6: Final answer
    x = 7,309.80

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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.