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Finding the Fourth Proportional to 9,605.30, 13,256.18 and 5,829.42

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Solution

The fourth proportional to 9,605.30, 13,256.18 and 5,829.42 is: 8,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.30 : 13,256.18 = 5,829.42 : x
  2. Step 2: Convert to fraction form
    9,605.30/13,256.18 = 5,829.42/x
  3. Step 3: Cross multiply
    9,605.30x = 13,256.18 × 5,829.42
  4. Step 4: Simplify right side
    9,605.30x = 77,275,883.24
  5. Step 5: Solve for x
    x = 77,275,883.24/9,605.30
  6. Step 6: Final answer
    x = 8,045.13

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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.