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Finding the Fourth Proportional to 34,598.61, 51,897.96 and 9,638.73

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Solution

The fourth proportional to 34,598.61, 51,897.96 and 9,638.73 is: 14,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,598.61 : 51,897.96 = 9,638.73 : x
  2. Step 2: Convert to fraction form
    34,598.61/51,897.96 = 9,638.73/x
  3. Step 3: Cross multiply
    34,598.61x = 51,897.96 × 9,638.73
  4. Step 4: Simplify right side
    34,598.61x = 500,230,116.31
  5. Step 5: Solve for x
    x = 500,230,116.31/34,598.61
  6. Step 6: Final answer
    x = 14,458.10

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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.