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Finding the Fourth Proportional to 9,442.26, 13,034.16 and 6,085.26

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Solution

The fourth proportional to 9,442.26, 13,034.16 and 6,085.26 is: 8,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.26 : 13,034.16 = 6,085.26 : x
  2. Step 2: Convert to fraction form
    9,442.26/13,034.16 = 6,085.26/x
  3. Step 3: Cross multiply
    9,442.26x = 13,034.16 × 6,085.26
  4. Step 4: Simplify right side
    9,442.26x = 79,316,252.48
  5. Step 5: Solve for x
    x = 79,316,252.48/9,442.26
  6. Step 6: Final answer
    x = 8,400.13

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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.