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Finding the Fourth Proportional to 7,055.95, 9,737.16 and 4,071.76

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Solution

The fourth proportional to 7,055.95, 9,737.16 and 4,071.76 is: 5,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.95 : 9,737.16 = 4,071.76 : x
  2. Step 2: Convert to fraction form
    7,055.95/9,737.16 = 4,071.76/x
  3. Step 3: Cross multiply
    7,055.95x = 9,737.16 × 4,071.76
  4. Step 4: Simplify right side
    7,055.95x = 39,647,378.60
  5. Step 5: Solve for x
    x = 39,647,378.60/7,055.95
  6. Step 6: Final answer
    x = 5,619.00

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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.