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Finding the Fourth Proportional to 9,883.17, 14,826.56 and 4,689

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Solution

The fourth proportional to 9,883.17, 14,826.56 and 4,689 is: 7,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.17 : 14,826.56 = 4,689 : x
  2. Step 2: Convert to fraction form
    9,883.17/14,826.56 = 4,689/x
  3. Step 3: Cross multiply
    9,883.17x = 14,826.56 × 4,689
  4. Step 4: Simplify right side
    9,883.17x = 69,521,716.40
  5. Step 5: Solve for x
    x = 69,521,716.40/9,883.17
  6. Step 6: Final answer
    x = 7,034.35

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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.