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Finding the Fourth Proportional to 9,878.67, 13,632.48 and 5,402.43

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Solution

The fourth proportional to 9,878.67, 13,632.48 and 5,402.43 is: 7,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.67 : 13,632.48 = 5,402.43 : x
  2. Step 2: Convert to fraction form
    9,878.67/13,632.48 = 5,402.43/x
  3. Step 3: Cross multiply
    9,878.67x = 13,632.48 × 5,402.43
  4. Step 4: Simplify right side
    9,878.67x = 73,648,518.93
  5. Step 5: Solve for x
    x = 73,648,518.93/9,878.67
  6. Step 6: Final answer
    x = 7,455.31

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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.