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Finding the Fourth Proportional to 9,810.42, 14,706.59 and 3,568.92

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Solution

The fourth proportional to 9,810.42, 14,706.59 and 3,568.92 is: 5,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.42 : 14,706.59 = 3,568.92 : x
  2. Step 2: Convert to fraction form
    9,810.42/14,706.59 = 3,568.92/x
  3. Step 3: Cross multiply
    9,810.42x = 14,706.59 × 3,568.92
  4. Step 4: Simplify right side
    9,810.42x = 52,486,625.34
  5. Step 5: Solve for x
    x = 52,486,625.34/9,810.42
  6. Step 6: Final answer
    x = 5,350.09

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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.