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Finding the Fourth Proportional to 6,228.30, 9,342.42 and 5,130.35

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Solution

The fourth proportional to 6,228.30, 9,342.42 and 5,130.35 is: 7,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.30 : 9,342.42 = 5,130.35 : x
  2. Step 2: Convert to fraction form
    6,228.30/9,342.42 = 5,130.35/x
  3. Step 3: Cross multiply
    6,228.30x = 9,342.42 × 5,130.35
  4. Step 4: Simplify right side
    6,228.30x = 47,929,884.45
  5. Step 5: Solve for x
    x = 47,929,884.45/6,228.30
  6. Step 6: Final answer
    x = 7,695.50

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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.