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Finding the Fourth Proportional to 9,164.56, 12,647.16 and 4,972.84

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Solution

The fourth proportional to 9,164.56, 12,647.16 and 4,972.84 is: 6,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.56 : 12,647.16 = 4,972.84 : x
  2. Step 2: Convert to fraction form
    9,164.56/12,647.16 = 4,972.84/x
  3. Step 3: Cross multiply
    9,164.56x = 12,647.16 × 4,972.84
  4. Step 4: Simplify right side
    9,164.56x = 62,892,303.13
  5. Step 5: Solve for x
    x = 62,892,303.13/9,164.56
  6. Step 6: Final answer
    x = 6,862.56

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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.