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Finding the Fourth Proportional to 6,956.65, 9,597.75 and 3,970.36

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Solution

The fourth proportional to 6,956.65, 9,597.75 and 3,970.36 is: 5,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.65 : 9,597.75 = 3,970.36 : x
  2. Step 2: Convert to fraction form
    6,956.65/9,597.75 = 3,970.36/x
  3. Step 3: Cross multiply
    6,956.65x = 9,597.75 × 3,970.36
  4. Step 4: Simplify right side
    6,956.65x = 38,106,522.69
  5. Step 5: Solve for x
    x = 38,106,522.69/6,956.65
  6. Step 6: Final answer
    x = 5,477.71

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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.