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Finding the Fourth Proportional to 9,830.37, 13,585.18 and 8,736.87

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Solution

The fourth proportional to 9,830.37, 13,585.18 and 8,736.87 is: 12,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.37 : 13,585.18 = 8,736.87 : x
  2. Step 2: Convert to fraction form
    9,830.37/13,585.18 = 8,736.87/x
  3. Step 3: Cross multiply
    9,830.37x = 13,585.18 × 8,736.87
  4. Step 4: Simplify right side
    9,830.37x = 118,691,929.74
  5. Step 5: Solve for x
    x = 118,691,929.74/9,830.37
  6. Step 6: Final answer
    x = 12,074.00

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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.