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Finding the Fourth Proportional to 9,763.60, 13,465.56 and 7,522.96

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Solution

The fourth proportional to 9,763.60, 13,465.56 and 7,522.96 is: 10,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.60 : 13,465.56 = 7,522.96 : x
  2. Step 2: Convert to fraction form
    9,763.60/13,465.56 = 7,522.96/x
  3. Step 3: Cross multiply
    9,763.60x = 13,465.56 × 7,522.96
  4. Step 4: Simplify right side
    9,763.60x = 101,300,869.26
  5. Step 5: Solve for x
    x = 101,300,869.26/9,763.60
  6. Step 6: Final answer
    x = 10,375.36

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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.