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Finding the Fourth Proportional to 9,273.51, 13,904.08 and 4,820.22

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Solution

The fourth proportional to 9,273.51, 13,904.08 and 4,820.22 is: 7,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.51 : 13,904.08 = 4,820.22 : x
  2. Step 2: Convert to fraction form
    9,273.51/13,904.08 = 4,820.22/x
  3. Step 3: Cross multiply
    9,273.51x = 13,904.08 × 4,820.22
  4. Step 4: Simplify right side
    9,273.51x = 67,020,724.50
  5. Step 5: Solve for x
    x = 67,020,724.50/9,273.51
  6. Step 6: Final answer
    x = 7,227.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.