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Finding the Fourth Proportional to 6,476.16, 8,937.18 and 3,681.84

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Solution

The fourth proportional to 6,476.16, 8,937.18 and 3,681.84 is: 5,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.16 : 8,937.18 = 3,681.84 : x
  2. Step 2: Convert to fraction form
    6,476.16/8,937.18 = 3,681.84/x
  3. Step 3: Cross multiply
    6,476.16x = 8,937.18 × 3,681.84
  4. Step 4: Simplify right side
    6,476.16x = 32,905,266.81
  5. Step 5: Solve for x
    x = 32,905,266.81/6,476.16
  6. Step 6: Final answer
    x = 5,080.98

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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.