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Finding the Fourth Proportional to 9,726.57, 13,403.93 and 7,069.77

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Solution

The fourth proportional to 9,726.57, 13,403.93 and 7,069.77 is: 9,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.57 : 13,403.93 = 7,069.77 : x
  2. Step 2: Convert to fraction form
    9,726.57/13,403.93 = 7,069.77/x
  3. Step 3: Cross multiply
    9,726.57x = 13,403.93 × 7,069.77
  4. Step 4: Simplify right side
    9,726.57x = 94,762,652.85
  5. Step 5: Solve for x
    x = 94,762,652.85/9,726.57
  6. Step 6: Final answer
    x = 9,742.66

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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.