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Finding the Fourth Proportional to 10,296.60, 15,477.30 and 9,713.40

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Solution

The fourth proportional to 10,296.60, 15,477.30 and 9,713.40 is: 14,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.60 : 15,477.30 = 9,713.40 : x
  2. Step 2: Convert to fraction form
    10,296.60/15,477.30 = 9,713.40/x
  3. Step 3: Cross multiply
    10,296.60x = 15,477.30 × 9,713.40
  4. Step 4: Simplify right side
    10,296.60x = 150,337,205.82
  5. Step 5: Solve for x
    x = 150,337,205.82/10,296.60
  6. Step 6: Final answer
    x = 14,600.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.