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Finding the Fourth Proportional to 9,736.08, 14,582.16 and 6,827.40

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Solution

The fourth proportional to 9,736.08, 14,582.16 and 6,827.40 is: 10,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.08 : 14,582.16 = 6,827.40 : x
  2. Step 2: Convert to fraction form
    9,736.08/14,582.16 = 6,827.40/x
  3. Step 3: Cross multiply
    9,736.08x = 14,582.16 × 6,827.40
  4. Step 4: Simplify right side
    9,736.08x = 99,558,239.18
  5. Step 5: Solve for x
    x = 99,558,239.18/9,736.08
  6. Step 6: Final answer
    x = 10,225.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.