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Finding the Fourth Proportional to 9,848.16, 14,772.21 and 3,274.17

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Solution

The fourth proportional to 9,848.16, 14,772.21 and 3,274.17 is: 4,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.16 : 14,772.21 = 3,274.17 : x
  2. Step 2: Convert to fraction form
    9,848.16/14,772.21 = 3,274.17/x
  3. Step 3: Cross multiply
    9,848.16x = 14,772.21 × 3,274.17
  4. Step 4: Simplify right side
    9,848.16x = 48,366,726.82
  5. Step 5: Solve for x
    x = 48,366,726.82/9,848.16
  6. Step 6: Final answer
    x = 4,911.25

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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.