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Finding the Fourth Proportional to 9,624.56, 13,289.40 and 7,534.64

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Solution

The fourth proportional to 9,624.56, 13,289.40 and 7,534.64 is: 10,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.56 : 13,289.40 = 7,534.64 : x
  2. Step 2: Convert to fraction form
    9,624.56/13,289.40 = 7,534.64/x
  3. Step 3: Cross multiply
    9,624.56x = 13,289.40 × 7,534.64
  4. Step 4: Simplify right side
    9,624.56x = 100,130,844.82
  5. Step 5: Solve for x
    x = 100,130,844.82/9,624.56
  6. Step 6: Final answer
    x = 10,403.68

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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.