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Finding the Fourth Proportional to 9,989.19, 13,784.13 and 5,513.13

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Solution

The fourth proportional to 9,989.19, 13,784.13 and 5,513.13 is: 7,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.19 : 13,784.13 = 5,513.13 : x
  2. Step 2: Convert to fraction form
    9,989.19/13,784.13 = 5,513.13/x
  3. Step 3: Cross multiply
    9,989.19x = 13,784.13 × 5,513.13
  4. Step 4: Simplify right side
    9,989.19x = 75,993,700.63
  5. Step 5: Solve for x
    x = 75,993,700.63/9,989.19
  6. Step 6: Final answer
    x = 7,607.59

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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.