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Finding the Fourth Proportional to 9,264.12, 13,897.71 and 3,022.32

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Solution

The fourth proportional to 9,264.12, 13,897.71 and 3,022.32 is: 4,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.12 : 13,897.71 = 3,022.32 : x
  2. Step 2: Convert to fraction form
    9,264.12/13,897.71 = 3,022.32/x
  3. Step 3: Cross multiply
    9,264.12x = 13,897.71 × 3,022.32
  4. Step 4: Simplify right side
    9,264.12x = 42,003,326.89
  5. Step 5: Solve for x
    x = 42,003,326.89/9,264.12
  6. Step 6: Final answer
    x = 4,533.98

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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.