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Finding the Fourth Proportional to 9,726.78, 13,421.48 and 5,477.62

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Solution

The fourth proportional to 9,726.78, 13,421.48 and 5,477.62 is: 7,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.78 : 13,421.48 = 5,477.62 : x
  2. Step 2: Convert to fraction form
    9,726.78/13,421.48 = 5,477.62/x
  3. Step 3: Cross multiply
    9,726.78x = 13,421.48 × 5,477.62
  4. Step 4: Simplify right side
    9,726.78x = 73,517,706.34
  5. Step 5: Solve for x
    x = 73,517,706.34/9,726.78
  6. Step 6: Final answer
    x = 7,558.28

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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.