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Finding the Fourth Proportional to 9,383.64, 12,951.54 and 5,405.46

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Solution

The fourth proportional to 9,383.64, 12,951.54 and 5,405.46 is: 7,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.64 : 12,951.54 = 5,405.46 : x
  2. Step 2: Convert to fraction form
    9,383.64/12,951.54 = 5,405.46/x
  3. Step 3: Cross multiply
    9,383.64x = 12,951.54 × 5,405.46
  4. Step 4: Simplify right side
    9,383.64x = 70,009,031.41
  5. Step 5: Solve for x
    x = 70,009,031.41/9,383.64
  6. Step 6: Final answer
    x = 7,460.75

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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.