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Finding the Fourth Proportional to 9,461.79, 14,126.16 and 7,228.94

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Solution

The fourth proportional to 9,461.79, 14,126.16 and 7,228.94 is: 10,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.79 : 14,126.16 = 7,228.94 : x
  2. Step 2: Convert to fraction form
    9,461.79/14,126.16 = 7,228.94/x
  3. Step 3: Cross multiply
    9,461.79x = 14,126.16 × 7,228.94
  4. Step 4: Simplify right side
    9,461.79x = 102,117,092.44
  5. Step 5: Solve for x
    x = 102,117,092.44/9,461.79
  6. Step 6: Final answer
    x = 10,792.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.