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Finding the Fourth Proportional to 9,726.48, 13,423.32 and 7,477.92

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Solution

The fourth proportional to 9,726.48, 13,423.32 and 7,477.92 is: 10,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.48 : 13,423.32 = 7,477.92 : x
  2. Step 2: Convert to fraction form
    9,726.48/13,423.32 = 7,477.92/x
  3. Step 3: Cross multiply
    9,726.48x = 13,423.32 × 7,477.92
  4. Step 4: Simplify right side
    9,726.48x = 100,378,513.09
  5. Step 5: Solve for x
    x = 100,378,513.09/9,726.48
  6. Step 6: Final answer
    x = 10,320.13

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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.