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Finding the Fourth Proportional to 9,417.47, 14,126.21 and 6,836.81

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Solution

The fourth proportional to 9,417.47, 14,126.21 and 6,836.81 is: 10,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.47 : 14,126.21 = 6,836.81 : x
  2. Step 2: Convert to fraction form
    9,417.47/14,126.21 = 6,836.81/x
  3. Step 3: Cross multiply
    9,417.47x = 14,126.21 × 6,836.81
  4. Step 4: Simplify right side
    9,417.47x = 96,578,179.61
  5. Step 5: Solve for x
    x = 96,578,179.61/9,417.47
  6. Step 6: Final answer
    x = 10,255.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.