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Finding the Fourth Proportional to 9,096.40, 12,536.58 and 6,842.98

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Solution

The fourth proportional to 9,096.40, 12,536.58 and 6,842.98 is: 9,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.40 : 12,536.58 = 6,842.98 : x
  2. Step 2: Convert to fraction form
    9,096.40/12,536.58 = 6,842.98/x
  3. Step 3: Cross multiply
    9,096.40x = 12,536.58 × 6,842.98
  4. Step 4: Simplify right side
    9,096.40x = 85,787,566.21
  5. Step 5: Solve for x
    x = 85,787,566.21/9,096.40
  6. Step 6: Final answer
    x = 9,430.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.