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Finding the Fourth Proportional to 9,897.68, 14,851.38 and 4,633.04

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Solution

The fourth proportional to 9,897.68, 14,851.38 and 4,633.04 is: 6,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.68 : 14,851.38 = 4,633.04 : x
  2. Step 2: Convert to fraction form
    9,897.68/14,851.38 = 4,633.04/x
  3. Step 3: Cross multiply
    9,897.68x = 14,851.38 × 4,633.04
  4. Step 4: Simplify right side
    9,897.68x = 68,807,037.60
  5. Step 5: Solve for x
    x = 68,807,037.60/9,897.68
  6. Step 6: Final answer
    x = 6,951.83

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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.