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Finding the Fourth Proportional to 9,845.64, 13,585.98 and 6,068.20

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Solution

The fourth proportional to 9,845.64, 13,585.98 and 6,068.20 is: 8,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.64 : 13,585.98 = 6,068.20 : x
  2. Step 2: Convert to fraction form
    9,845.64/13,585.98 = 6,068.20/x
  3. Step 3: Cross multiply
    9,845.64x = 13,585.98 × 6,068.20
  4. Step 4: Simplify right side
    9,845.64x = 82,442,443.84
  5. Step 5: Solve for x
    x = 82,442,443.84/9,845.64
  6. Step 6: Final answer
    x = 8,373.50

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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.