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Finding the Fourth Proportional to 9,303.06, 12,838.13 and 5,111.22

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Solution

The fourth proportional to 9,303.06, 12,838.13 and 5,111.22 is: 7,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.06 : 12,838.13 = 5,111.22 : x
  2. Step 2: Convert to fraction form
    9,303.06/12,838.13 = 5,111.22/x
  3. Step 3: Cross multiply
    9,303.06x = 12,838.13 × 5,111.22
  4. Step 4: Simplify right side
    9,303.06x = 65,618,506.82
  5. Step 5: Solve for x
    x = 65,618,506.82/9,303.06
  6. Step 6: Final answer
    x = 7,053.43

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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.