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Finding the Fourth Proportional to 7,946.56, 11,897.16 and 6,305.50

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Solution

The fourth proportional to 7,946.56, 11,897.16 and 6,305.50 is: 9,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.56 : 11,897.16 = 6,305.50 : x
  2. Step 2: Convert to fraction form
    7,946.56/11,897.16 = 6,305.50/x
  3. Step 3: Cross multiply
    7,946.56x = 11,897.16 × 6,305.50
  4. Step 4: Simplify right side
    7,946.56x = 75,017,542.38
  5. Step 5: Solve for x
    x = 75,017,542.38/7,946.56
  6. Step 6: Final answer
    x = 9,440.25

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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.