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Finding the Fourth Proportional to 9,244.32, 13,866.54 and 3,698.14

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Solution

The fourth proportional to 9,244.32, 13,866.54 and 3,698.14 is: 5,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.32 : 13,866.54 = 3,698.14 : x
  2. Step 2: Convert to fraction form
    9,244.32/13,866.54 = 3,698.14/x
  3. Step 3: Cross multiply
    9,244.32x = 13,866.54 × 3,698.14
  4. Step 4: Simplify right side
    9,244.32x = 51,280,406.24
  5. Step 5: Solve for x
    x = 51,280,406.24/9,244.32
  6. Step 6: Final answer
    x = 5,547.23

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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.