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Finding the Fourth Proportional to 7,058.33, 9,740.81 and 4,225.17

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Solution

The fourth proportional to 7,058.33, 9,740.81 and 4,225.17 is: 5,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.33 : 9,740.81 = 4,225.17 : x
  2. Step 2: Convert to fraction form
    7,058.33/9,740.81 = 4,225.17/x
  3. Step 3: Cross multiply
    7,058.33x = 9,740.81 × 4,225.17
  4. Step 4: Simplify right side
    7,058.33x = 41,156,578.19
  5. Step 5: Solve for x
    x = 41,156,578.19/7,058.33
  6. Step 6: Final answer
    x = 5,830.92

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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.