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Finding the Fourth Proportional to 9,303.25, 12,838.49 and 5,111.77

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Solution

The fourth proportional to 9,303.25, 12,838.49 and 5,111.77 is: 7,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.25 : 12,838.49 = 5,111.77 : x
  2. Step 2: Convert to fraction form
    9,303.25/12,838.49 = 5,111.77/x
  3. Step 3: Cross multiply
    9,303.25x = 12,838.49 × 5,111.77
  4. Step 4: Simplify right side
    9,303.25x = 65,627,408.03
  5. Step 5: Solve for x
    x = 65,627,408.03/9,303.25
  6. Step 6: Final answer
    x = 7,054.25

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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.