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Finding the Fourth Proportional to 9,257.16, 13,893.06 and 3,417.90

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Solution

The fourth proportional to 9,257.16, 13,893.06 and 3,417.90 is: 5,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.16 : 13,893.06 = 3,417.90 : x
  2. Step 2: Convert to fraction form
    9,257.16/13,893.06 = 3,417.90/x
  3. Step 3: Cross multiply
    9,257.16x = 13,893.06 × 3,417.90
  4. Step 4: Simplify right side
    9,257.16x = 47,485,089.77
  5. Step 5: Solve for x
    x = 47,485,089.77/9,257.16
  6. Step 6: Final answer
    x = 5,129.55

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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.