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Finding the Fourth Proportional to 9,744.42, 13,448.55 and 6,390.06

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Solution

The fourth proportional to 9,744.42, 13,448.55 and 6,390.06 is: 8,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.42 : 13,448.55 = 6,390.06 : x
  2. Step 2: Convert to fraction form
    9,744.42/13,448.55 = 6,390.06/x
  3. Step 3: Cross multiply
    9,744.42x = 13,448.55 × 6,390.06
  4. Step 4: Simplify right side
    9,744.42x = 85,937,041.41
  5. Step 5: Solve for x
    x = 85,937,041.41/9,744.42
  6. Step 6: Final answer
    x = 8,819.10

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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.