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Finding the Fourth Proportional to 9,629.10, 13,284.09 and 7,117.20

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Solution

The fourth proportional to 9,629.10, 13,284.09 and 7,117.20 is: 9,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.10 : 13,284.09 = 7,117.20 : x
  2. Step 2: Convert to fraction form
    9,629.10/13,284.09 = 7,117.20/x
  3. Step 3: Cross multiply
    9,629.10x = 13,284.09 × 7,117.20
  4. Step 4: Simplify right side
    9,629.10x = 94,545,525.35
  5. Step 5: Solve for x
    x = 94,545,525.35/9,629.10
  6. Step 6: Final answer
    x = 9,818.73

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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.