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Finding the Fourth Proportional to 9,654.64, 14,481.12 and 4,972

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Solution

The fourth proportional to 9,654.64, 14,481.12 and 4,972 is: 7,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.64 : 14,481.12 = 4,972 : x
  2. Step 2: Convert to fraction form
    9,654.64/14,481.12 = 4,972/x
  3. Step 3: Cross multiply
    9,654.64x = 14,481.12 × 4,972
  4. Step 4: Simplify right side
    9,654.64x = 72,000,128.64
  5. Step 5: Solve for x
    x = 72,000,128.64/9,654.64
  6. Step 6: Final answer
    x = 7,457.57

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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.