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Finding the Fourth Proportional to 9,892.74, 14,782.34 and 9,708.06

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Solution

The fourth proportional to 9,892.74, 14,782.34 and 9,708.06 is: 14,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.74 : 14,782.34 = 9,708.06 : x
  2. Step 2: Convert to fraction form
    9,892.74/14,782.34 = 9,708.06/x
  3. Step 3: Cross multiply
    9,892.74x = 14,782.34 × 9,708.06
  4. Step 4: Simplify right side
    9,892.74x = 143,507,795.12
  5. Step 5: Solve for x
    x = 143,507,795.12/9,892.74
  6. Step 6: Final answer
    x = 14,506.37

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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.