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Finding the Fourth Proportional to 7,095.84, 9,798.46 and 4,447.80

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Solution

The fourth proportional to 7,095.84, 9,798.46 and 4,447.80 is: 6,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.84 : 9,798.46 = 4,447.80 : x
  2. Step 2: Convert to fraction form
    7,095.84/9,798.46 = 4,447.80/x
  3. Step 3: Cross multiply
    7,095.84x = 9,798.46 × 4,447.80
  4. Step 4: Simplify right side
    7,095.84x = 43,581,590.39
  5. Step 5: Solve for x
    x = 43,581,590.39/7,095.84
  6. Step 6: Final answer
    x = 6,141.85

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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.