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Finding the Fourth Proportional to 9,830.42, 13,566.13 and 5,354.16

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Solution

The fourth proportional to 9,830.42, 13,566.13 and 5,354.16 is: 7,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.42 : 13,566.13 = 5,354.16 : x
  2. Step 2: Convert to fraction form
    9,830.42/13,566.13 = 5,354.16/x
  3. Step 3: Cross multiply
    9,830.42x = 13,566.13 × 5,354.16
  4. Step 4: Simplify right side
    9,830.42x = 72,635,230.60
  5. Step 5: Solve for x
    x = 72,635,230.60/9,830.42
  6. Step 6: Final answer
    x = 7,388.82

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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.