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Finding the Fourth Proportional to 9,830.52, 13,575.75 and 8,405.98

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Solution

The fourth proportional to 9,830.52, 13,575.75 and 8,405.98 is: 11,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.52 : 13,575.75 = 8,405.98 : x
  2. Step 2: Convert to fraction form
    9,830.52/13,575.75 = 8,405.98/x
  3. Step 3: Cross multiply
    9,830.52x = 13,575.75 × 8,405.98
  4. Step 4: Simplify right side
    9,830.52x = 114,117,482.99
  5. Step 5: Solve for x
    x = 114,117,482.99/9,830.52
  6. Step 6: Final answer
    x = 11,608.49

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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.