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Finding the Fourth Proportional to 7,166.98, 9,883.65 and 4,740.09

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Solution

The fourth proportional to 7,166.98, 9,883.65 and 4,740.09 is: 6,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.98 : 9,883.65 = 4,740.09 : x
  2. Step 2: Convert to fraction form
    7,166.98/9,883.65 = 4,740.09/x
  3. Step 3: Cross multiply
    7,166.98x = 9,883.65 × 4,740.09
  4. Step 4: Simplify right side
    7,166.98x = 46,849,414.64
  5. Step 5: Solve for x
    x = 46,849,414.64/7,166.98
  6. Step 6: Final answer
    x = 6,536.84

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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.