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Finding the Fourth Proportional to 6,106.56, 9,139.80 and 4,637.64

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Solution

The fourth proportional to 6,106.56, 9,139.80 and 4,637.64 is: 6,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.56 : 9,139.80 = 4,637.64 : x
  2. Step 2: Convert to fraction form
    6,106.56/9,139.80 = 4,637.64/x
  3. Step 3: Cross multiply
    6,106.56x = 9,139.80 × 4,637.64
  4. Step 4: Simplify right side
    6,106.56x = 42,387,102.07
  5. Step 5: Solve for x
    x = 42,387,102.07/6,106.56
  6. Step 6: Final answer
    x = 6,941.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.