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Finding the Fourth Proportional to 9,639.95, 14,468.31 and 5,488.31

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Solution

The fourth proportional to 9,639.95, 14,468.31 and 5,488.31 is: 8,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.95 : 14,468.31 = 5,488.31 : x
  2. Step 2: Convert to fraction form
    9,639.95/14,468.31 = 5,488.31/x
  3. Step 3: Cross multiply
    9,639.95x = 14,468.31 × 5,488.31
  4. Step 4: Simplify right side
    9,639.95x = 79,406,570.46
  5. Step 5: Solve for x
    x = 79,406,570.46/9,639.95
  6. Step 6: Final answer
    x = 8,237.24

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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.