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Finding the Fourth Proportional to 6,465.13, 8,923.16 and 3,670.63

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Solution

The fourth proportional to 6,465.13, 8,923.16 and 3,670.63 is: 5,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.13 : 8,923.16 = 3,670.63 : x
  2. Step 2: Convert to fraction form
    6,465.13/8,923.16 = 3,670.63/x
  3. Step 3: Cross multiply
    6,465.13x = 8,923.16 × 3,670.63
  4. Step 4: Simplify right side
    6,465.13x = 32,753,618.79
  5. Step 5: Solve for x
    x = 32,753,618.79/6,465.13
  6. Step 6: Final answer
    x = 5,066.20

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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.