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Finding the Fourth Proportional to 6,384.30, 9,576.45 and 4,656.30

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Solution

The fourth proportional to 6,384.30, 9,576.45 and 4,656.30 is: 6,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.30 : 9,576.45 = 4,656.30 : x
  2. Step 2: Convert to fraction form
    6,384.30/9,576.45 = 4,656.30/x
  3. Step 3: Cross multiply
    6,384.30x = 9,576.45 × 4,656.30
  4. Step 4: Simplify right side
    6,384.30x = 44,590,824.14
  5. Step 5: Solve for x
    x = 44,590,824.14/6,384.30
  6. Step 6: Final answer
    x = 6,984.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.