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Finding the Fourth Proportional to 9,798.09, 14,689.83 and 4,597.89

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Solution

The fourth proportional to 9,798.09, 14,689.83 and 4,597.89 is: 6,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.09 : 14,689.83 = 4,597.89 : x
  2. Step 2: Convert to fraction form
    9,798.09/14,689.83 = 4,597.89/x
  3. Step 3: Cross multiply
    9,798.09x = 14,689.83 × 4,597.89
  4. Step 4: Simplify right side
    9,798.09x = 67,542,222.46
  5. Step 5: Solve for x
    x = 67,542,222.46/9,798.09
  6. Step 6: Final answer
    x = 6,893.41

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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.