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Finding the Fourth Proportional to 7,735.10, 10,647.33 and 6,738.63

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Solution

The fourth proportional to 7,735.10, 10,647.33 and 6,738.63 is: 9,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.10 : 10,647.33 = 6,738.63 : x
  2. Step 2: Convert to fraction form
    7,735.10/10,647.33 = 6,738.63/x
  3. Step 3: Cross multiply
    7,735.10x = 10,647.33 × 6,738.63
  4. Step 4: Simplify right side
    7,735.10x = 71,748,417.36
  5. Step 5: Solve for x
    x = 71,748,417.36/7,735.10
  6. Step 6: Final answer
    x = 9,275.70

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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.