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Finding the Fourth Proportional to 9,904.40, 14,856.60 and 7,408.17

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Solution

The fourth proportional to 9,904.40, 14,856.60 and 7,408.17 is: 11,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.40 : 14,856.60 = 7,408.17 : x
  2. Step 2: Convert to fraction form
    9,904.40/14,856.60 = 7,408.17/x
  3. Step 3: Cross multiply
    9,904.40x = 14,856.60 × 7,408.17
  4. Step 4: Simplify right side
    9,904.40x = 110,060,218.42
  5. Step 5: Solve for x
    x = 110,060,218.42/9,904.40
  6. Step 6: Final answer
    x = 11,112.26

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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.