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Finding the Fourth Proportional to 9,827, 14,744.52 and 4,277.48

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Solution

The fourth proportional to 9,827, 14,744.52 and 4,277.48 is: 6,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827 : 14,744.52 = 4,277.48 : x
  2. Step 2: Convert to fraction form
    9,827/14,744.52 = 4,277.48/x
  3. Step 3: Cross multiply
    9,827x = 14,744.52 × 4,277.48
  4. Step 4: Simplify right side
    9,827x = 63,069,389.41
  5. Step 5: Solve for x
    x = 63,069,389.41/9,827
  6. Step 6: Final answer
    x = 6,417.97

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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.