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Finding the Fourth Proportional to 9,835.98, 13,573.18 and 5,359.71

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Solution

The fourth proportional to 9,835.98, 13,573.18 and 5,359.71 is: 7,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.98 : 13,573.18 = 5,359.71 : x
  2. Step 2: Convert to fraction form
    9,835.98/13,573.18 = 5,359.71/x
  3. Step 3: Cross multiply
    9,835.98x = 13,573.18 × 5,359.71
  4. Step 4: Simplify right side
    9,835.98x = 72,748,308.58
  5. Step 5: Solve for x
    x = 72,748,308.58/9,835.98
  6. Step 6: Final answer
    x = 7,396.14

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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.