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Finding the Fourth Proportional to 9,140.96, 13,701.12 and 8,402.56

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Solution

The fourth proportional to 9,140.96, 13,701.12 and 8,402.56 is: 12,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.96 : 13,701.12 = 8,402.56 : x
  2. Step 2: Convert to fraction form
    9,140.96/13,701.12 = 8,402.56/x
  3. Step 3: Cross multiply
    9,140.96x = 13,701.12 × 8,402.56
  4. Step 4: Simplify right side
    9,140.96x = 115,124,482.87
  5. Step 5: Solve for x
    x = 115,124,482.87/9,140.96
  6. Step 6: Final answer
    x = 12,594.35

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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.