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Finding the Fourth Proportional to 9,453.90, 13,046.18 and 5,262.14

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Solution

The fourth proportional to 9,453.90, 13,046.18 and 5,262.14 is: 7,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.90 : 13,046.18 = 5,262.14 : x
  2. Step 2: Convert to fraction form
    9,453.90/13,046.18 = 5,262.14/x
  3. Step 3: Cross multiply
    9,453.90x = 13,046.18 × 5,262.14
  4. Step 4: Simplify right side
    9,453.90x = 68,650,825.63
  5. Step 5: Solve for x
    x = 68,650,825.63/9,453.90
  6. Step 6: Final answer
    x = 7,261.64

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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.