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Finding the Fourth Proportional to 9,643.17, 14,466.47 and 3,406.80

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Solution

The fourth proportional to 9,643.17, 14,466.47 and 3,406.80 is: 5,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.17 : 14,466.47 = 3,406.80 : x
  2. Step 2: Convert to fraction form
    9,643.17/14,466.47 = 3,406.80/x
  3. Step 3: Cross multiply
    9,643.17x = 14,466.47 × 3,406.80
  4. Step 4: Simplify right side
    9,643.17x = 49,284,298.71
  5. Step 5: Solve for x
    x = 49,284,298.71/9,643.17
  6. Step 6: Final answer
    x = 5,110.80

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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.