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Finding the Fourth Proportional to 9,393.60, 12,966.02 and 5,417.31

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Solution

The fourth proportional to 9,393.60, 12,966.02 and 5,417.31 is: 7,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.60 : 12,966.02 = 5,417.31 : x
  2. Step 2: Convert to fraction form
    9,393.60/12,966.02 = 5,417.31/x
  3. Step 3: Cross multiply
    9,393.60x = 12,966.02 × 5,417.31
  4. Step 4: Simplify right side
    9,393.60x = 70,241,022.13
  5. Step 5: Solve for x
    x = 70,241,022.13/9,393.60
  6. Step 6: Final answer
    x = 7,477.54

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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.