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Finding the Fourth Proportional to 9,102.24, 13,656.96 and 4,482

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Solution

The fourth proportional to 9,102.24, 13,656.96 and 4,482 is: 6,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.24 : 13,656.96 = 4,482 : x
  2. Step 2: Convert to fraction form
    9,102.24/13,656.96 = 4,482/x
  3. Step 3: Cross multiply
    9,102.24x = 13,656.96 × 4,482
  4. Step 4: Simplify right side
    9,102.24x = 61,210,494.72
  5. Step 5: Solve for x
    x = 61,210,494.72/9,102.24
  6. Step 6: Final answer
    x = 6,724.77

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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.