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Finding the Fourth Proportional to 6,264.47, 9,384.53 and 2,973.03

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Solution

The fourth proportional to 6,264.47, 9,384.53 and 2,973.03 is: 4,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.47 : 9,384.53 = 2,973.03 : x
  2. Step 2: Convert to fraction form
    6,264.47/9,384.53 = 2,973.03/x
  3. Step 3: Cross multiply
    6,264.47x = 9,384.53 × 2,973.03
  4. Step 4: Simplify right side
    6,264.47x = 27,900,474.36
  5. Step 5: Solve for x
    x = 27,900,474.36/6,264.47
  6. Step 6: Final answer
    x = 4,453.77

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Why These Related Problems?

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