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Finding the Fourth Proportional to 9,810.28, 13,541.85 and 6,034.06

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Solution

The fourth proportional to 9,810.28, 13,541.85 and 6,034.06 is: 8,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.28 : 13,541.85 = 6,034.06 : x
  2. Step 2: Convert to fraction form
    9,810.28/13,541.85 = 6,034.06/x
  3. Step 3: Cross multiply
    9,810.28x = 13,541.85 × 6,034.06
  4. Step 4: Simplify right side
    9,810.28x = 81,712,335.41
  5. Step 5: Solve for x
    x = 81,712,335.41/9,810.28
  6. Step 6: Final answer
    x = 8,329.26

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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.