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Finding the Fourth Proportional to 9,835.71, 13,573.61 and 5,359.58

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Solution

The fourth proportional to 9,835.71, 13,573.61 and 5,359.58 is: 7,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.71 : 13,573.61 = 5,359.58 : x
  2. Step 2: Convert to fraction form
    9,835.71/13,573.61 = 5,359.58/x
  3. Step 3: Cross multiply
    9,835.71x = 13,573.61 × 5,359.58
  4. Step 4: Simplify right side
    9,835.71x = 72,748,848.68
  5. Step 5: Solve for x
    x = 72,748,848.68/9,835.71
  6. Step 6: Final answer
    x = 7,396.40

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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.