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Finding the Fourth Proportional to 9,756.22, 13,463.62 and 5,507.32

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Solution

The fourth proportional to 9,756.22, 13,463.62 and 5,507.32 is: 7,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.22 : 13,463.62 = 5,507.32 : x
  2. Step 2: Convert to fraction form
    9,756.22/13,463.62 = 5,507.32/x
  3. Step 3: Cross multiply
    9,756.22x = 13,463.62 × 5,507.32
  4. Step 4: Simplify right side
    9,756.22x = 74,148,463.70
  5. Step 5: Solve for x
    x = 74,148,463.70/9,756.22
  6. Step 6: Final answer
    x = 7,600.12

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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.