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Finding the Fourth Proportional to 6,185.16, 9,277.74 and 3,737.34

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Solution

The fourth proportional to 6,185.16, 9,277.74 and 3,737.34 is: 5,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.16 : 9,277.74 = 3,737.34 : x
  2. Step 2: Convert to fraction form
    6,185.16/9,277.74 = 3,737.34/x
  3. Step 3: Cross multiply
    6,185.16x = 9,277.74 × 3,737.34
  4. Step 4: Simplify right side
    6,185.16x = 34,674,068.81
  5. Step 5: Solve for x
    x = 34,674,068.81/6,185.16
  6. Step 6: Final answer
    x = 5,606.01

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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.