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Finding the Fourth Proportional to 9,907.27, 14,884.13 and 9,346.84

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Solution

The fourth proportional to 9,907.27, 14,884.13 and 9,346.84 is: 14,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.27 : 14,884.13 = 9,346.84 : x
  2. Step 2: Convert to fraction form
    9,907.27/14,884.13 = 9,346.84/x
  3. Step 3: Cross multiply
    9,907.27x = 14,884.13 × 9,346.84
  4. Step 4: Simplify right side
    9,907.27x = 139,119,581.65
  5. Step 5: Solve for x
    x = 139,119,581.65/9,907.27
  6. Step 6: Final answer
    x = 14,042.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.