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Finding the Fourth Proportional to 10,462.34, 14,408.24 and 9,795.08

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Solution

The fourth proportional to 10,462.34, 14,408.24 and 9,795.08 is: 13,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.34 : 14,408.24 = 9,795.08 : x
  2. Step 2: Convert to fraction form
    10,462.34/14,408.24 = 9,795.08/x
  3. Step 3: Cross multiply
    10,462.34x = 14,408.24 × 9,795.08
  4. Step 4: Simplify right side
    10,462.34x = 141,129,863.46
  5. Step 5: Solve for x
    x = 141,129,863.46/10,462.34
  6. Step 6: Final answer
    x = 13,489.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.