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Finding the Fourth Proportional to 9,946.04, 14,922.02 and 4,103

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Solution

The fourth proportional to 9,946.04, 14,922.02 and 4,103 is: 6,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.04 : 14,922.02 = 4,103 : x
  2. Step 2: Convert to fraction form
    9,946.04/14,922.02 = 4,103/x
  3. Step 3: Cross multiply
    9,946.04x = 14,922.02 × 4,103
  4. Step 4: Simplify right side
    9,946.04x = 61,225,048.06
  5. Step 5: Solve for x
    x = 61,225,048.06/9,946.04
  6. Step 6: Final answer
    x = 6,155.72

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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.