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Finding the Fourth Proportional to 9,726.76, 13,420.26 and 5,746.12

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Solution

The fourth proportional to 9,726.76, 13,420.26 and 5,746.12 is: 7,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.76 : 13,420.26 = 5,746.12 : x
  2. Step 2: Convert to fraction form
    9,726.76/13,420.26 = 5,746.12/x
  3. Step 3: Cross multiply
    9,726.76x = 13,420.26 × 5,746.12
  4. Step 4: Simplify right side
    9,726.76x = 77,114,424.39
  5. Step 5: Solve for x
    x = 77,114,424.39/9,726.76
  6. Step 6: Final answer
    x = 7,928.07

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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.