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Finding the Fourth Proportional to 9,812.26, 13,531.61 and 7,570.58

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Solution

The fourth proportional to 9,812.26, 13,531.61 and 7,570.58 is: 10,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.26 : 13,531.61 = 7,570.58 : x
  2. Step 2: Convert to fraction form
    9,812.26/13,531.61 = 7,570.58/x
  3. Step 3: Cross multiply
    9,812.26x = 13,531.61 × 7,570.58
  4. Step 4: Simplify right side
    9,812.26x = 102,442,188.79
  5. Step 5: Solve for x
    x = 102,442,188.79/9,812.26
  6. Step 6: Final answer
    x = 10,440.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.