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Finding the Fourth Proportional to 10,437.65, 15,563.37 and 9,278.54

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Solution

The fourth proportional to 10,437.65, 15,563.37 and 9,278.54 is: 13,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.65 : 15,563.37 = 9,278.54 : x
  2. Step 2: Convert to fraction form
    10,437.65/15,563.37 = 9,278.54/x
  3. Step 3: Cross multiply
    10,437.65x = 15,563.37 × 9,278.54
  4. Step 4: Simplify right side
    10,437.65x = 144,405,273.26
  5. Step 5: Solve for x
    x = 144,405,273.26/10,437.65
  6. Step 6: Final answer
    x = 13,835.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.