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Finding the Fourth Proportional to 9,303.30, 12,838.41 and 5,111.46

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Solution

The fourth proportional to 9,303.30, 12,838.41 and 5,111.46 is: 7,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.30 : 12,838.41 = 5,111.46 : x
  2. Step 2: Convert to fraction form
    9,303.30/12,838.41 = 5,111.46/x
  3. Step 3: Cross multiply
    9,303.30x = 12,838.41 × 5,111.46
  4. Step 4: Simplify right side
    9,303.30x = 65,623,019.18
  5. Step 5: Solve for x
    x = 65,623,019.18/9,303.30
  6. Step 6: Final answer
    x = 7,053.74

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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.