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Finding the Fourth Proportional to 9,878.94, 13,632.26 and 5,401.76

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Solution

The fourth proportional to 9,878.94, 13,632.26 and 5,401.76 is: 7,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.94 : 13,632.26 = 5,401.76 : x
  2. Step 2: Convert to fraction form
    9,878.94/13,632.26 = 5,401.76/x
  3. Step 3: Cross multiply
    9,878.94x = 13,632.26 × 5,401.76
  4. Step 4: Simplify right side
    9,878.94x = 73,638,101.61
  5. Step 5: Solve for x
    x = 73,638,101.61/9,878.94
  6. Step 6: Final answer
    x = 7,454.05

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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.