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Finding the Fourth Proportional to 9,208.32, 13,810.32 and 3,284.70

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Solution

The fourth proportional to 9,208.32, 13,810.32 and 3,284.70 is: 4,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.32 : 13,810.32 = 3,284.70 : x
  2. Step 2: Convert to fraction form
    9,208.32/13,810.32 = 3,284.70/x
  3. Step 3: Cross multiply
    9,208.32x = 13,810.32 × 3,284.70
  4. Step 4: Simplify right side
    9,208.32x = 45,362,758.10
  5. Step 5: Solve for x
    x = 45,362,758.10/9,208.32
  6. Step 6: Final answer
    x = 4,926.28

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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.