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Finding the Fourth Proportional to 6,574.95, 9,071.19 and 4,686.84

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Solution

The fourth proportional to 6,574.95, 9,071.19 and 4,686.84 is: 6,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.95 : 9,071.19 = 4,686.84 : x
  2. Step 2: Convert to fraction form
    6,574.95/9,071.19 = 4,686.84/x
  3. Step 3: Cross multiply
    6,574.95x = 9,071.19 × 4,686.84
  4. Step 4: Simplify right side
    6,574.95x = 42,515,216.14
  5. Step 5: Solve for x
    x = 42,515,216.14/6,574.95
  6. Step 6: Final answer
    x = 6,466.24

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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.