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Finding the Fourth Proportional to 9,164.07, 12,646.45 and 4,972.32

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Solution

The fourth proportional to 9,164.07, 12,646.45 and 4,972.32 is: 6,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.07 : 12,646.45 = 4,972.32 : x
  2. Step 2: Convert to fraction form
    9,164.07/12,646.45 = 4,972.32/x
  3. Step 3: Cross multiply
    9,164.07x = 12,646.45 × 4,972.32
  4. Step 4: Simplify right side
    9,164.07x = 62,882,196.26
  5. Step 5: Solve for x
    x = 62,882,196.26/9,164.07
  6. Step 6: Final answer
    x = 6,861.82

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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.