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Finding the Fourth Proportional to 9,546.88, 14,322.04 and 2,971.52

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Solution

The fourth proportional to 9,546.88, 14,322.04 and 2,971.52 is: 4,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.88 : 14,322.04 = 2,971.52 : x
  2. Step 2: Convert to fraction form
    9,546.88/14,322.04 = 2,971.52/x
  3. Step 3: Cross multiply
    9,546.88x = 14,322.04 × 2,971.52
  4. Step 4: Simplify right side
    9,546.88x = 42,558,228.30
  5. Step 5: Solve for x
    x = 42,558,228.30/9,546.88
  6. Step 6: Final answer
    x = 4,457.82

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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.