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Finding the Fourth Proportional to 9,597.96, 14,385.96 and 4,042.98

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Solution

The fourth proportional to 9,597.96, 14,385.96 and 4,042.98 is: 6,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.96 : 14,385.96 = 4,042.98 : x
  2. Step 2: Convert to fraction form
    9,597.96/14,385.96 = 4,042.98/x
  3. Step 3: Cross multiply
    9,597.96x = 14,385.96 × 4,042.98
  4. Step 4: Simplify right side
    9,597.96x = 58,162,148.56
  5. Step 5: Solve for x
    x = 58,162,148.56/9,597.96
  6. Step 6: Final answer
    x = 6,059.84

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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.