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Finding the Fourth Proportional to 9,794.04, 14,608.38 and 8,316.60

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Solution

The fourth proportional to 9,794.04, 14,608.38 and 8,316.60 is: 12,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.04 : 14,608.38 = 8,316.60 : x
  2. Step 2: Convert to fraction form
    9,794.04/14,608.38 = 8,316.60/x
  3. Step 3: Cross multiply
    9,794.04x = 14,608.38 × 8,316.60
  4. Step 4: Simplify right side
    9,794.04x = 121,492,053.11
  5. Step 5: Solve for x
    x = 121,492,053.11/9,794.04
  6. Step 6: Final answer
    x = 12,404.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.