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Finding the Fourth Proportional to 7,034.93, 9,707.32 and 4,010.49

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Solution

The fourth proportional to 7,034.93, 9,707.32 and 4,010.49 is: 5,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.93 : 9,707.32 = 4,010.49 : x
  2. Step 2: Convert to fraction form
    7,034.93/9,707.32 = 4,010.49/x
  3. Step 3: Cross multiply
    7,034.93x = 9,707.32 × 4,010.49
  4. Step 4: Simplify right side
    7,034.93x = 38,931,076.22
  5. Step 5: Solve for x
    x = 38,931,076.22/7,034.93
  6. Step 6: Final answer
    x = 5,533.97

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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.