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Finding the Fourth Proportional to 9,410.90, 12,981.69 and 8,459.54

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Solution

The fourth proportional to 9,410.90, 12,981.69 and 8,459.54 is: 11,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.90 : 12,981.69 = 8,459.54 : x
  2. Step 2: Convert to fraction form
    9,410.90/12,981.69 = 8,459.54/x
  3. Step 3: Cross multiply
    9,410.90x = 12,981.69 × 8,459.54
  4. Step 4: Simplify right side
    9,410.90x = 109,819,125.82
  5. Step 5: Solve for x
    x = 109,819,125.82/9,410.90
  6. Step 6: Final answer
    x = 11,669.35

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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.