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Finding the Fourth Proportional to 9,829.84, 14,750.52 and 7,053.52

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Solution

The fourth proportional to 9,829.84, 14,750.52 and 7,053.52 is: 10,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.84 : 14,750.52 = 7,053.52 : x
  2. Step 2: Convert to fraction form
    9,829.84/14,750.52 = 7,053.52/x
  3. Step 3: Cross multiply
    9,829.84x = 14,750.52 × 7,053.52
  4. Step 4: Simplify right side
    9,829.84x = 104,043,087.83
  5. Step 5: Solve for x
    x = 104,043,087.83/9,829.84
  6. Step 6: Final answer
    x = 10,584.41

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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.