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Finding the Fourth Proportional to 9,904.06, 14,861.76 and 7,277.23

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Solution

The fourth proportional to 9,904.06, 14,861.76 and 7,277.23 is: 10,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.06 : 14,861.76 = 7,277.23 : x
  2. Step 2: Convert to fraction form
    9,904.06/14,861.76 = 7,277.23/x
  3. Step 3: Cross multiply
    9,904.06x = 14,861.76 × 7,277.23
  4. Step 4: Simplify right side
    9,904.06x = 108,152,445.72
  5. Step 5: Solve for x
    x = 108,152,445.72/9,904.06
  6. Step 6: Final answer
    x = 10,920.01

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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.