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Finding the Fourth Proportional to 9,973, 14,946.36 and 4,121.56

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Solution

The fourth proportional to 9,973, 14,946.36 and 4,121.56 is: 6,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973 : 14,946.36 = 4,121.56 : x
  2. Step 2: Convert to fraction form
    9,973/14,946.36 = 4,121.56/x
  3. Step 3: Cross multiply
    9,973x = 14,946.36 × 4,121.56
  4. Step 4: Simplify right side
    9,973x = 61,602,319.52
  5. Step 5: Solve for x
    x = 61,602,319.52/9,973
  6. Step 6: Final answer
    x = 6,176.91

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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.