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Finding the Fourth Proportional to 6,594.42, 9,101.03 and 3,762.50

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Solution

The fourth proportional to 6,594.42, 9,101.03 and 3,762.50 is: 5,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.42 : 9,101.03 = 3,762.50 : x
  2. Step 2: Convert to fraction form
    6,594.42/9,101.03 = 3,762.50/x
  3. Step 3: Cross multiply
    6,594.42x = 9,101.03 × 3,762.50
  4. Step 4: Simplify right side
    6,594.42x = 34,242,589.28
  5. Step 5: Solve for x
    x = 34,242,589.28/6,594.42
  6. Step 6: Final answer
    x = 5,192.66

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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.