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Finding the Fourth Proportional to 9,830.42, 14,670.09 and 8,779.44

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Solution

The fourth proportional to 9,830.42, 14,670.09 and 8,779.44 is: 13,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.42 : 14,670.09 = 8,779.44 : x
  2. Step 2: Convert to fraction form
    9,830.42/14,670.09 = 8,779.44/x
  3. Step 3: Cross multiply
    9,830.42x = 14,670.09 × 8,779.44
  4. Step 4: Simplify right side
    9,830.42x = 128,795,174.95
  5. Step 5: Solve for x
    x = 128,795,174.95/9,830.42
  6. Step 6: Final answer
    x = 13,101.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.