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Finding the Fourth Proportional to 9,152.31, 13,723.41 and 5,405.66

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Solution

The fourth proportional to 9,152.31, 13,723.41 and 5,405.66 is: 8,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.31 : 13,723.41 = 5,405.66 : x
  2. Step 2: Convert to fraction form
    9,152.31/13,723.41 = 5,405.66/x
  3. Step 3: Cross multiply
    9,152.31x = 13,723.41 × 5,405.66
  4. Step 4: Simplify right side
    9,152.31x = 74,184,088.50
  5. Step 5: Solve for x
    x = 74,184,088.50/9,152.31
  6. Step 6: Final answer
    x = 8,105.50

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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.