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Finding the Fourth Proportional to 9,572.96, 13,203.52 and 6,384.80

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Solution

The fourth proportional to 9,572.96, 13,203.52 and 6,384.80 is: 8,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.96 : 13,203.52 = 6,384.80 : x
  2. Step 2: Convert to fraction form
    9,572.96/13,203.52 = 6,384.80/x
  3. Step 3: Cross multiply
    9,572.96x = 13,203.52 × 6,384.80
  4. Step 4: Simplify right side
    9,572.96x = 84,301,834.50
  5. Step 5: Solve for x
    x = 84,301,834.50/9,572.96
  6. Step 6: Final answer
    x = 8,806.25

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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.