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Finding the Fourth Proportional to 9,830.02, 13,554.66 and 8,896.90

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Solution

The fourth proportional to 9,830.02, 13,554.66 and 8,896.90 is: 12,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.02 : 13,554.66 = 8,896.90 : x
  2. Step 2: Convert to fraction form
    9,830.02/13,554.66 = 8,896.90/x
  3. Step 3: Cross multiply
    9,830.02x = 13,554.66 × 8,896.90
  4. Step 4: Simplify right side
    9,830.02x = 120,594,454.55
  5. Step 5: Solve for x
    x = 120,594,454.55/9,830.02
  6. Step 6: Final answer
    x = 12,267.98

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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.