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Finding the Fourth Proportional to 6,316.42, 8,713.16 and 4,430.81

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Solution

The fourth proportional to 6,316.42, 8,713.16 and 4,430.81 is: 6,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.42 : 8,713.16 = 4,430.81 : x
  2. Step 2: Convert to fraction form
    6,316.42/8,713.16 = 4,430.81/x
  3. Step 3: Cross multiply
    6,316.42x = 8,713.16 × 4,430.81
  4. Step 4: Simplify right side
    6,316.42x = 38,606,356.46
  5. Step 5: Solve for x
    x = 38,606,356.46/6,316.42
  6. Step 6: Final answer
    x = 6,112.06

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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.