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Finding the Fourth Proportional to 9,892.65, 14,837.37 and 3,655.60

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Solution

The fourth proportional to 9,892.65, 14,837.37 and 3,655.60 is: 5,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.65 : 14,837.37 = 3,655.60 : x
  2. Step 2: Convert to fraction form
    9,892.65/14,837.37 = 3,655.60/x
  3. Step 3: Cross multiply
    9,892.65x = 14,837.37 × 3,655.60
  4. Step 4: Simplify right side
    9,892.65x = 54,239,449.25
  5. Step 5: Solve for x
    x = 54,239,449.25/9,892.65
  6. Step 6: Final answer
    x = 5,482.80

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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.