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Finding the Fourth Proportional to 9,334.85, 12,881.71 and 5,085.83

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Solution

The fourth proportional to 9,334.85, 12,881.71 and 5,085.83 is: 7,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.85 : 12,881.71 = 5,085.83 : x
  2. Step 2: Convert to fraction form
    9,334.85/12,881.71 = 5,085.83/x
  3. Step 3: Cross multiply
    9,334.85x = 12,881.71 × 5,085.83
  4. Step 4: Simplify right side
    9,334.85x = 65,514,206.66
  5. Step 5: Solve for x
    x = 65,514,206.66/9,334.85
  6. Step 6: Final answer
    x = 7,018.24

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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.