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Finding the Fourth Proportional to 9,365.18, 14,018.40 and 5,142.65

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Solution

The fourth proportional to 9,365.18, 14,018.40 and 5,142.65 is: 7,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.18 : 14,018.40 = 5,142.65 : x
  2. Step 2: Convert to fraction form
    9,365.18/14,018.40 = 5,142.65/x
  3. Step 3: Cross multiply
    9,365.18x = 14,018.40 × 5,142.65
  4. Step 4: Simplify right side
    9,365.18x = 72,091,654.67
  5. Step 5: Solve for x
    x = 72,091,654.67/9,365.18
  6. Step 6: Final answer
    x = 7,697.84

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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.