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Finding the Fourth Proportional to 9,290.02, 13,897.59 and 8,007.46

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Solution

The fourth proportional to 9,290.02, 13,897.59 and 8,007.46 is: 11,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.02 : 13,897.59 = 8,007.46 : x
  2. Step 2: Convert to fraction form
    9,290.02/13,897.59 = 8,007.46/x
  3. Step 3: Cross multiply
    9,290.02x = 13,897.59 × 8,007.46
  4. Step 4: Simplify right side
    9,290.02x = 111,284,396.02
  5. Step 5: Solve for x
    x = 111,284,396.02/9,290.02
  6. Step 6: Final answer
    x = 11,978.92

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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.