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Finding the Fourth Proportional to 9,835.89, 13,573.02 and 5,359.35

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Solution

The fourth proportional to 9,835.89, 13,573.02 and 5,359.35 is: 7,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.89 : 13,573.02 = 5,359.35 : x
  2. Step 2: Convert to fraction form
    9,835.89/13,573.02 = 5,359.35/x
  3. Step 3: Cross multiply
    9,835.89x = 13,573.02 × 5,359.35
  4. Step 4: Simplify right side
    9,835.89x = 72,742,564.74
  5. Step 5: Solve for x
    x = 72,742,564.74/9,835.89
  6. Step 6: Final answer
    x = 7,395.63

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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.