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Finding the Fourth Proportional to 6,309.04, 9,444.12 and 5,064.88

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Solution

The fourth proportional to 6,309.04, 9,444.12 and 5,064.88 is: 7,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.04 : 9,444.12 = 5,064.88 : x
  2. Step 2: Convert to fraction form
    6,309.04/9,444.12 = 5,064.88/x
  3. Step 3: Cross multiply
    6,309.04x = 9,444.12 × 5,064.88
  4. Step 4: Simplify right side
    6,309.04x = 47,833,334.51
  5. Step 5: Solve for x
    x = 47,833,334.51/6,309.04
  6. Step 6: Final answer
    x = 7,581.71

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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.