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Finding the Fourth Proportional to 6,471.04, 8,935.68 and 5,071.36

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Solution

The fourth proportional to 6,471.04, 8,935.68 and 5,071.36 is: 7,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.04 : 8,935.68 = 5,071.36 : x
  2. Step 2: Convert to fraction form
    6,471.04/8,935.68 = 5,071.36/x
  3. Step 3: Cross multiply
    6,471.04x = 8,935.68 × 5,071.36
  4. Step 4: Simplify right side
    6,471.04x = 45,316,050.12
  5. Step 5: Solve for x
    x = 45,316,050.12/6,471.04
  6. Step 6: Final answer
    x = 7,002.90

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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.