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Finding the Fourth Proportional to 9,645.64, 14,468.77 and 3,320.45

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Solution

The fourth proportional to 9,645.64, 14,468.77 and 3,320.45 is: 4,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.64 : 14,468.77 = 3,320.45 : x
  2. Step 2: Convert to fraction form
    9,645.64/14,468.77 = 3,320.45/x
  3. Step 3: Cross multiply
    9,645.64x = 14,468.77 × 3,320.45
  4. Step 4: Simplify right side
    9,645.64x = 48,042,885.46
  5. Step 5: Solve for x
    x = 48,042,885.46/9,645.64
  6. Step 6: Final answer
    x = 4,980.79

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