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Finding the Fourth Proportional to 6,973.76, 9,623.14 and 4,140.63

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Solution

The fourth proportional to 6,973.76, 9,623.14 and 4,140.63 is: 5,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.76 : 9,623.14 = 4,140.63 : x
  2. Step 2: Convert to fraction form
    6,973.76/9,623.14 = 4,140.63/x
  3. Step 3: Cross multiply
    6,973.76x = 9,623.14 × 4,140.63
  4. Step 4: Simplify right side
    6,973.76x = 39,845,851.83
  5. Step 5: Solve for x
    x = 39,845,851.83/6,973.76
  6. Step 6: Final answer
    x = 5,713.68

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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.