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Finding the Fourth Proportional to 6,328.25, 9,477.62 and 5,003.11

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Solution

The fourth proportional to 6,328.25, 9,477.62 and 5,003.11 is: 7,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.25 : 9,477.62 = 5,003.11 : x
  2. Step 2: Convert to fraction form
    6,328.25/9,477.62 = 5,003.11/x
  3. Step 3: Cross multiply
    6,328.25x = 9,477.62 × 5,003.11
  4. Step 4: Simplify right side
    6,328.25x = 47,417,575.40
  5. Step 5: Solve for x
    x = 47,417,575.40/6,328.25
  6. Step 6: Final answer
    x = 7,493.00

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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.