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Finding the Fourth Proportional to 9,693.34, 14,536.92 and 3,117.99

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Solution

The fourth proportional to 9,693.34, 14,536.92 and 3,117.99 is: 4,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.34 : 14,536.92 = 3,117.99 : x
  2. Step 2: Convert to fraction form
    9,693.34/14,536.92 = 3,117.99/x
  3. Step 3: Cross multiply
    9,693.34x = 14,536.92 × 3,117.99
  4. Step 4: Simplify right side
    9,693.34x = 45,325,978.99
  5. Step 5: Solve for x
    x = 45,325,978.99/9,693.34
  6. Step 6: Final answer
    x = 4,675.99

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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.