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Finding the Fourth Proportional to 9,563.27, 14,346.52 and 2,988.16

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Solution

The fourth proportional to 9,563.27, 14,346.52 and 2,988.16 is: 4,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.27 : 14,346.52 = 2,988.16 : x
  2. Step 2: Convert to fraction form
    9,563.27/14,346.52 = 2,988.16/x
  3. Step 3: Cross multiply
    9,563.27x = 14,346.52 × 2,988.16
  4. Step 4: Simplify right side
    9,563.27x = 42,869,653.87
  5. Step 5: Solve for x
    x = 42,869,653.87/9,563.27
  6. Step 6: Final answer
    x = 4,482.74

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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.