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Finding the Fourth Proportional to 10,314.41, 14,239.13 and 6,541.43

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Solution

The fourth proportional to 10,314.41, 14,239.13 and 6,541.43 is: 9,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.41 : 14,239.13 = 6,541.43 : x
  2. Step 2: Convert to fraction form
    10,314.41/14,239.13 = 6,541.43/x
  3. Step 3: Cross multiply
    10,314.41x = 14,239.13 × 6,541.43
  4. Step 4: Simplify right side
    10,314.41x = 93,144,168.25
  5. Step 5: Solve for x
    x = 93,144,168.25/10,314.41
  6. Step 6: Final answer
    x = 9,030.49

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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.