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Finding the Fourth Proportional to 9,099.36, 13,632.48 and 6,320.16

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Solution

The fourth proportional to 9,099.36, 13,632.48 and 6,320.16 is: 9,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.36 : 13,632.48 = 6,320.16 : x
  2. Step 2: Convert to fraction form
    9,099.36/13,632.48 = 6,320.16/x
  3. Step 3: Cross multiply
    9,099.36x = 13,632.48 × 6,320.16
  4. Step 4: Simplify right side
    9,099.36x = 86,159,454.80
  5. Step 5: Solve for x
    x = 86,159,454.80/9,099.36
  6. Step 6: Final answer
    x = 9,468.74

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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.