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Finding the Fourth Proportional to 9,827.90, 13,562.14 and 5,351.55

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Solution

The fourth proportional to 9,827.90, 13,562.14 and 5,351.55 is: 7,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.90 : 13,562.14 = 5,351.55 : x
  2. Step 2: Convert to fraction form
    9,827.90/13,562.14 = 5,351.55/x
  3. Step 3: Cross multiply
    9,827.90x = 13,562.14 × 5,351.55
  4. Step 4: Simplify right side
    9,827.90x = 72,578,507.45
  5. Step 5: Solve for x
    x = 72,578,507.45/9,827.90
  6. Step 6: Final answer
    x = 7,384.95

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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.