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Finding the Fourth Proportional to 9,714.60, 13,406.12 and 5,465.66

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Solution

The fourth proportional to 9,714.60, 13,406.12 and 5,465.66 is: 7,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.60 : 13,406.12 = 5,465.66 : x
  2. Step 2: Convert to fraction form
    9,714.60/13,406.12 = 5,465.66/x
  3. Step 3: Cross multiply
    9,714.60x = 13,406.12 × 5,465.66
  4. Step 4: Simplify right side
    9,714.60x = 73,273,293.84
  5. Step 5: Solve for x
    x = 73,273,293.84/9,714.60
  6. Step 6: Final answer
    x = 7,542.60

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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.