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Finding the Fourth Proportional to 9,385.72, 12,958.32 and 6,030

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Solution

The fourth proportional to 9,385.72, 12,958.32 and 6,030 is: 8,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.72 : 12,958.32 = 6,030 : x
  2. Step 2: Convert to fraction form
    9,385.72/12,958.32 = 6,030/x
  3. Step 3: Cross multiply
    9,385.72x = 12,958.32 × 6,030
  4. Step 4: Simplify right side
    9,385.72x = 78,138,669.60
  5. Step 5: Solve for x
    x = 78,138,669.60/9,385.72
  6. Step 6: Final answer
    x = 8,325.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.