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Finding the Fourth Proportional to 9,490.25, 13,092.48 and 6,133.41

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Solution

The fourth proportional to 9,490.25, 13,092.48 and 6,133.41 is: 8,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.25 : 13,092.48 = 6,133.41 : x
  2. Step 2: Convert to fraction form
    9,490.25/13,092.48 = 6,133.41/x
  3. Step 3: Cross multiply
    9,490.25x = 13,092.48 × 6,133.41
  4. Step 4: Simplify right side
    9,490.25x = 80,301,547.76
  5. Step 5: Solve for x
    x = 80,301,547.76/9,490.25
  6. Step 6: Final answer
    x = 8,461.48

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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.