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Finding the Fourth Proportional to 9,140.34, 13,710.50 and 2,214.84

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Solution

The fourth proportional to 9,140.34, 13,710.50 and 2,214.84 is: 3,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.34 : 13,710.50 = 2,214.84 : x
  2. Step 2: Convert to fraction form
    9,140.34/13,710.50 = 2,214.84/x
  3. Step 3: Cross multiply
    9,140.34x = 13,710.50 × 2,214.84
  4. Step 4: Simplify right side
    9,140.34x = 30,366,563.82
  5. Step 5: Solve for x
    x = 30,366,563.82/9,140.34
  6. Step 6: Final answer
    x = 3,322.26

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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.