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Finding the Fourth Proportional to 9,897.68, 14,846.16 and 2,972

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Solution

The fourth proportional to 9,897.68, 14,846.16 and 2,972 is: 4,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.68 : 14,846.16 = 2,972 : x
  2. Step 2: Convert to fraction form
    9,897.68/14,846.16 = 2,972/x
  3. Step 3: Cross multiply
    9,897.68x = 14,846.16 × 2,972
  4. Step 4: Simplify right side
    9,897.68x = 44,122,787.52
  5. Step 5: Solve for x
    x = 44,122,787.52/9,897.68
  6. Step 6: Final answer
    x = 4,457.89

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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.