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Finding the Fourth Proportional to 6,594.63, 9,101.76 and 3,762.17

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Solution

The fourth proportional to 6,594.63, 9,101.76 and 3,762.17 is: 5,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.63 : 9,101.76 = 3,762.17 : x
  2. Step 2: Convert to fraction form
    6,594.63/9,101.76 = 3,762.17/x
  3. Step 3: Cross multiply
    6,594.63x = 9,101.76 × 3,762.17
  4. Step 4: Simplify right side
    6,594.63x = 34,242,322.91
  5. Step 5: Solve for x
    x = 34,242,322.91/6,594.63
  6. Step 6: Final answer
    x = 5,192.46

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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.