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Finding the Fourth Proportional to 9,172.64, 12,653.52 and 5,809.76

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Solution

The fourth proportional to 9,172.64, 12,653.52 and 5,809.76 is: 8,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.64 : 12,653.52 = 5,809.76 : x
  2. Step 2: Convert to fraction form
    9,172.64/12,653.52 = 5,809.76/x
  3. Step 3: Cross multiply
    9,172.64x = 12,653.52 × 5,809.76
  4. Step 4: Simplify right side
    9,172.64x = 73,513,914.36
  5. Step 5: Solve for x
    x = 73,513,914.36/9,172.64
  6. Step 6: Final answer
    x = 8,014.48

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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.