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Finding the Fourth Proportional to 9,416.70, 14,125.05 and 8,906.40

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Solution

The fourth proportional to 9,416.70, 14,125.05 and 8,906.40 is: 13,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.70 : 14,125.05 = 8,906.40 : x
  2. Step 2: Convert to fraction form
    9,416.70/14,125.05 = 8,906.40/x
  3. Step 3: Cross multiply
    9,416.70x = 14,125.05 × 8,906.40
  4. Step 4: Simplify right side
    9,416.70x = 125,803,345.32
  5. Step 5: Solve for x
    x = 125,803,345.32/9,416.70
  6. Step 6: Final answer
    x = 13,359.60

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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.