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Finding the Fourth Proportional to 9,693.12, 13,444.48 and 9,299.46

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Solution

The fourth proportional to 9,693.12, 13,444.48 and 9,299.46 is: 12,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.12 : 13,444.48 = 9,299.46 : x
  2. Step 2: Convert to fraction form
    9,693.12/13,444.48 = 9,299.46/x
  3. Step 3: Cross multiply
    9,693.12x = 13,444.48 × 9,299.46
  4. Step 4: Simplify right side
    9,693.12x = 125,026,403.98
  5. Step 5: Solve for x
    x = 125,026,403.98/9,693.12
  6. Step 6: Final answer
    x = 12,898.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.