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Finding the Fourth Proportional to 9,309.52, 13,968.32 and 4,634.16

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Solution

The fourth proportional to 9,309.52, 13,968.32 and 4,634.16 is: 6,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.52 : 13,968.32 = 4,634.16 : x
  2. Step 2: Convert to fraction form
    9,309.52/13,968.32 = 4,634.16/x
  3. Step 3: Cross multiply
    9,309.52x = 13,968.32 × 4,634.16
  4. Step 4: Simplify right side
    9,309.52x = 64,731,429.81
  5. Step 5: Solve for x
    x = 64,731,429.81/9,309.52
  6. Step 6: Final answer
    x = 6,953.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.