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Finding the Fourth Proportional to 6,985.95, 9,642.86 and 4,474.81

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Solution

The fourth proportional to 6,985.95, 9,642.86 and 4,474.81 is: 6,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.95 : 9,642.86 = 4,474.81 : x
  2. Step 2: Convert to fraction form
    6,985.95/9,642.86 = 4,474.81/x
  3. Step 3: Cross multiply
    6,985.95x = 9,642.86 × 4,474.81
  4. Step 4: Simplify right side
    6,985.95x = 43,149,966.36
  5. Step 5: Solve for x
    x = 43,149,966.36/6,985.95
  6. Step 6: Final answer
    x = 6,176.68

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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.