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Finding the Fourth Proportional to 9,357.10, 14,035.53 and 2,693.77

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Solution

The fourth proportional to 9,357.10, 14,035.53 and 2,693.77 is: 4,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.10 : 14,035.53 = 2,693.77 : x
  2. Step 2: Convert to fraction form
    9,357.10/14,035.53 = 2,693.77/x
  3. Step 3: Cross multiply
    9,357.10x = 14,035.53 × 2,693.77
  4. Step 4: Simplify right side
    9,357.10x = 37,808,489.65
  5. Step 5: Solve for x
    x = 37,808,489.65/9,357.10
  6. Step 6: Final answer
    x = 4,040.62

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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.