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Finding the Fourth Proportional to 9,246.48, 13,871.16 and 5,547.84

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Solution

The fourth proportional to 9,246.48, 13,871.16 and 5,547.84 is: 8,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.48 : 13,871.16 = 5,547.84 : x
  2. Step 2: Convert to fraction form
    9,246.48/13,871.16 = 5,547.84/x
  3. Step 3: Cross multiply
    9,246.48x = 13,871.16 × 5,547.84
  4. Step 4: Simplify right side
    9,246.48x = 76,954,976.29
  5. Step 5: Solve for x
    x = 76,954,976.29/9,246.48
  6. Step 6: Final answer
    x = 8,322.62

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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.