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Finding the Fourth Proportional to 9,977.40, 13,753.17 and 6,828.12

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Solution

The fourth proportional to 9,977.40, 13,753.17 and 6,828.12 is: 9,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.40 : 13,753.17 = 6,828.12 : x
  2. Step 2: Convert to fraction form
    9,977.40/13,753.17 = 6,828.12/x
  3. Step 3: Cross multiply
    9,977.40x = 13,753.17 × 6,828.12
  4. Step 4: Simplify right side
    9,977.40x = 93,908,295.14
  5. Step 5: Solve for x
    x = 93,908,295.14/9,977.40
  6. Step 6: Final answer
    x = 9,412.10

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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.