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Finding the Fourth Proportional to 9,812.07, 13,531.44 and 7,570.39

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Solution

The fourth proportional to 9,812.07, 13,531.44 and 7,570.39 is: 10,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.07 : 13,531.44 = 7,570.39 : x
  2. Step 2: Convert to fraction form
    9,812.07/13,531.44 = 7,570.39/x
  3. Step 3: Cross multiply
    9,812.07x = 13,531.44 × 7,570.39
  4. Step 4: Simplify right side
    9,812.07x = 102,438,278.06
  5. Step 5: Solve for x
    x = 102,438,278.06/9,812.07
  6. Step 6: Final answer
    x = 10,440.03

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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.