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Finding the Fourth Proportional to 9,712.94, 13,405.48 and 5,465.90

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Solution

The fourth proportional to 9,712.94, 13,405.48 and 5,465.90 is: 7,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.94 : 13,405.48 = 5,465.90 : x
  2. Step 2: Convert to fraction form
    9,712.94/13,405.48 = 5,465.90/x
  3. Step 3: Cross multiply
    9,712.94x = 13,405.48 × 5,465.90
  4. Step 4: Simplify right side
    9,712.94x = 73,273,032.98
  5. Step 5: Solve for x
    x = 73,273,032.98/9,712.94
  6. Step 6: Final answer
    x = 7,543.86

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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.