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Finding the Fourth Proportional to 9,258.94, 13,891.29 and 2,686.06

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Solution

The fourth proportional to 9,258.94, 13,891.29 and 2,686.06 is: 4,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.94 : 13,891.29 = 2,686.06 : x
  2. Step 2: Convert to fraction form
    9,258.94/13,891.29 = 2,686.06/x
  3. Step 3: Cross multiply
    9,258.94x = 13,891.29 × 2,686.06
  4. Step 4: Simplify right side
    9,258.94x = 37,312,838.42
  5. Step 5: Solve for x
    x = 37,312,838.42/9,258.94
  6. Step 6: Final answer
    x = 4,029.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.