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Finding the Fourth Proportional to 9,604.22, 14,403.08 and 4,670.72

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Solution

The fourth proportional to 9,604.22, 14,403.08 and 4,670.72 is: 7,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.22 : 14,403.08 = 4,670.72 : x
  2. Step 2: Convert to fraction form
    9,604.22/14,403.08 = 4,670.72/x
  3. Step 3: Cross multiply
    9,604.22x = 14,403.08 × 4,670.72
  4. Step 4: Simplify right side
    9,604.22x = 67,272,658.45
  5. Step 5: Solve for x
    x = 67,272,658.45/9,604.22
  6. Step 6: Final answer
    x = 7,004.49

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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.