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Finding the Fourth Proportional to 9,275.82, 12,800.88 and 5,498.94

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Solution

The fourth proportional to 9,275.82, 12,800.88 and 5,498.94 is: 7,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.82 : 12,800.88 = 5,498.94 : x
  2. Step 2: Convert to fraction form
    9,275.82/12,800.88 = 5,498.94/x
  3. Step 3: Cross multiply
    9,275.82x = 12,800.88 × 5,498.94
  4. Step 4: Simplify right side
    9,275.82x = 70,391,271.07
  5. Step 5: Solve for x
    x = 70,391,271.07/9,275.82
  6. Step 6: Final answer
    x = 7,588.68

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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.