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Finding the Fourth Proportional to 6,973.76, 9,625.74 and 4,707.74

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Solution

The fourth proportional to 6,973.76, 9,625.74 and 4,707.74 is: 6,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.76 : 9,625.74 = 4,707.74 : x
  2. Step 2: Convert to fraction form
    6,973.76/9,625.74 = 4,707.74/x
  3. Step 3: Cross multiply
    6,973.76x = 9,625.74 × 4,707.74
  4. Step 4: Simplify right side
    6,973.76x = 45,315,481.23
  5. Step 5: Solve for x
    x = 45,315,481.23/6,973.76
  6. Step 6: Final answer
    x = 6,498.00

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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.