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Finding the Fourth Proportional to 12,277.85, 16,943.65 and 6,973.02

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Solution

The fourth proportional to 12,277.85, 16,943.65 and 6,973.02 is: 9,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.85 : 16,943.65 = 6,973.02 : x
  2. Step 2: Convert to fraction form
    12,277.85/16,943.65 = 6,973.02/x
  3. Step 3: Cross multiply
    12,277.85x = 16,943.65 × 6,973.02
  4. Step 4: Simplify right side
    12,277.85x = 118,148,392.89
  5. Step 5: Solve for x
    x = 118,148,392.89/12,277.85
  6. Step 6: Final answer
    x = 9,622.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.