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Finding the Fourth Proportional to 9,973.72, 14,967.06 and 4,780

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Solution

The fourth proportional to 9,973.72, 14,967.06 and 4,780 is: 7,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.72 : 14,967.06 = 4,780 : x
  2. Step 2: Convert to fraction form
    9,973.72/14,967.06 = 4,780/x
  3. Step 3: Cross multiply
    9,973.72x = 14,967.06 × 4,780
  4. Step 4: Simplify right side
    9,973.72x = 71,542,546.80
  5. Step 5: Solve for x
    x = 71,542,546.80/9,973.72
  6. Step 6: Final answer
    x = 7,173.11

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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.