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Finding the Fourth Proportional to 9,476.64, 13,078.44 and 5,284.80

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Solution

The fourth proportional to 9,476.64, 13,078.44 and 5,284.80 is: 7,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.64 : 13,078.44 = 5,284.80 : x
  2. Step 2: Convert to fraction form
    9,476.64/13,078.44 = 5,284.80/x
  3. Step 3: Cross multiply
    9,476.64x = 13,078.44 × 5,284.80
  4. Step 4: Simplify right side
    9,476.64x = 69,116,939.71
  5. Step 5: Solve for x
    x = 69,116,939.71/9,476.64
  6. Step 6: Final answer
    x = 7,293.40

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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.