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Finding the Fourth Proportional to 9,564.88, 13,195.83 and 7,052.95

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Solution

The fourth proportional to 9,564.88, 13,195.83 and 7,052.95 is: 9,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.88 : 13,195.83 = 7,052.95 : x
  2. Step 2: Convert to fraction form
    9,564.88/13,195.83 = 7,052.95/x
  3. Step 3: Cross multiply
    9,564.88x = 13,195.83 × 7,052.95
  4. Step 4: Simplify right side
    9,564.88x = 93,069,529.20
  5. Step 5: Solve for x
    x = 93,069,529.20/9,564.88
  6. Step 6: Final answer
    x = 9,730.34

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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.