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Finding the Fourth Proportional to 9,462.34, 13,051.29 and 6,478.30

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Solution

The fourth proportional to 9,462.34, 13,051.29 and 6,478.30 is: 8,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.34 : 13,051.29 = 6,478.30 : x
  2. Step 2: Convert to fraction form
    9,462.34/13,051.29 = 6,478.30/x
  3. Step 3: Cross multiply
    9,462.34x = 13,051.29 × 6,478.30
  4. Step 4: Simplify right side
    9,462.34x = 84,550,172.01
  5. Step 5: Solve for x
    x = 84,550,172.01/9,462.34
  6. Step 6: Final answer
    x = 8,935.44

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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.