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Finding the Fourth Proportional to 9,989.96, 14,986.40 and 3,065

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Solution

The fourth proportional to 9,989.96, 14,986.40 and 3,065 is: 4,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.96 : 14,986.40 = 3,065 : x
  2. Step 2: Convert to fraction form
    9,989.96/14,986.40 = 3,065/x
  3. Step 3: Cross multiply
    9,989.96x = 14,986.40 × 3,065
  4. Step 4: Simplify right side
    9,989.96x = 45,933,316
  5. Step 5: Solve for x
    x = 45,933,316/9,989.96
  6. Step 6: Final answer
    x = 4,597.95

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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.