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Finding the Fourth Proportional to 8,964.14, 13,378.41 and 8,730.86

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Solution

The fourth proportional to 8,964.14, 13,378.41 and 8,730.86 is: 13,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.14 : 13,378.41 = 8,730.86 : x
  2. Step 2: Convert to fraction form
    8,964.14/13,378.41 = 8,730.86/x
  3. Step 3: Cross multiply
    8,964.14x = 13,378.41 × 8,730.86
  4. Step 4: Simplify right side
    8,964.14x = 116,804,981.08
  5. Step 5: Solve for x
    x = 116,804,981.08/8,964.14
  6. Step 6: Final answer
    x = 13,030.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.