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Finding the Fourth Proportional to 9,190.33, 12,681.82 and 6,210.16

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Solution

The fourth proportional to 9,190.33, 12,681.82 and 6,210.16 is: 8,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.33 : 12,681.82 = 6,210.16 : x
  2. Step 2: Convert to fraction form
    9,190.33/12,681.82 = 6,210.16/x
  3. Step 3: Cross multiply
    9,190.33x = 12,681.82 × 6,210.16
  4. Step 4: Simplify right side
    9,190.33x = 78,756,131.29
  5. Step 5: Solve for x
    x = 78,756,131.29/9,190.33
  6. Step 6: Final answer
    x = 8,569.46

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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.