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Finding the Fourth Proportional to 9,125.46, 13,686.84 and 2,551.77

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Solution

The fourth proportional to 9,125.46, 13,686.84 and 2,551.77 is: 3,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.46 : 13,686.84 = 2,551.77 : x
  2. Step 2: Convert to fraction form
    9,125.46/13,686.84 = 2,551.77/x
  3. Step 3: Cross multiply
    9,125.46x = 13,686.84 × 2,551.77
  4. Step 4: Simplify right side
    9,125.46x = 34,925,667.71
  5. Step 5: Solve for x
    x = 34,925,667.71/9,125.46
  6. Step 6: Final answer
    x = 3,827.28

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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.