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Finding the Fourth Proportional to 9,430.98, 14,156.84 and 7,968.28

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Solution

The fourth proportional to 9,430.98, 14,156.84 and 7,968.28 is: 11,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.98 : 14,156.84 = 7,968.28 : x
  2. Step 2: Convert to fraction form
    9,430.98/14,156.84 = 7,968.28/x
  3. Step 3: Cross multiply
    9,430.98x = 14,156.84 × 7,968.28
  4. Step 4: Simplify right side
    9,430.98x = 112,805,665.04
  5. Step 5: Solve for x
    x = 112,805,665.04/9,430.98
  6. Step 6: Final answer
    x = 11,961.18

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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.