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Finding the Fourth Proportional to 9,164.06, 12,646.48 and 4,972.34

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Solution

The fourth proportional to 9,164.06, 12,646.48 and 4,972.34 is: 6,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.06 : 12,646.48 = 4,972.34 : x
  2. Step 2: Convert to fraction form
    9,164.06/12,646.48 = 4,972.34/x
  3. Step 3: Cross multiply
    9,164.06x = 12,646.48 × 4,972.34
  4. Step 4: Simplify right side
    9,164.06x = 62,882,598.36
  5. Step 5: Solve for x
    x = 62,882,598.36/9,164.06
  6. Step 6: Final answer
    x = 6,861.87

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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.