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Finding the Fourth Proportional to 9,735.68, 14,603.56 and 5,350.74

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Solution

The fourth proportional to 9,735.68, 14,603.56 and 5,350.74 is: 8,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.68 : 14,603.56 = 5,350.74 : x
  2. Step 2: Convert to fraction form
    9,735.68/14,603.56 = 5,350.74/x
  3. Step 3: Cross multiply
    9,735.68x = 14,603.56 × 5,350.74
  4. Step 4: Simplify right side
    9,735.68x = 78,139,852.63
  5. Step 5: Solve for x
    x = 78,139,852.63/9,735.68
  6. Step 6: Final answer
    x = 8,026.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.