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Finding the Fourth Proportional to 9,685.46, 13,364.28 and 5,707.36

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Solution

The fourth proportional to 9,685.46, 13,364.28 and 5,707.36 is: 7,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.46 : 13,364.28 = 5,707.36 : x
  2. Step 2: Convert to fraction form
    9,685.46/13,364.28 = 5,707.36/x
  3. Step 3: Cross multiply
    9,685.46x = 13,364.28 × 5,707.36
  4. Step 4: Simplify right side
    9,685.46x = 76,274,757.10
  5. Step 5: Solve for x
    x = 76,274,757.10/9,685.46
  6. Step 6: Final answer
    x = 7,875.18

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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.