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Finding the Fourth Proportional to 6,476.34, 8,935.98 and 4,117.62

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Solution

The fourth proportional to 6,476.34, 8,935.98 and 4,117.62 is: 5,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.34 : 8,935.98 = 4,117.62 : x
  2. Step 2: Convert to fraction form
    6,476.34/8,935.98 = 4,117.62/x
  3. Step 3: Cross multiply
    6,476.34x = 8,935.98 × 4,117.62
  4. Step 4: Simplify right side
    6,476.34x = 36,794,969.97
  5. Step 5: Solve for x
    x = 36,794,969.97/6,476.34
  6. Step 6: Final answer
    x = 5,681.45

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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.