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Finding the Fourth Proportional to 9,301.84, 13,951.21 and 3,061.93

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Solution

The fourth proportional to 9,301.84, 13,951.21 and 3,061.93 is: 4,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.84 : 13,951.21 = 3,061.93 : x
  2. Step 2: Convert to fraction form
    9,301.84/13,951.21 = 3,061.93/x
  3. Step 3: Cross multiply
    9,301.84x = 13,951.21 × 3,061.93
  4. Step 4: Simplify right side
    9,301.84x = 42,717,628.44
  5. Step 5: Solve for x
    x = 42,717,628.44/9,301.84
  6. Step 6: Final answer
    x = 4,592.38

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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.