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Finding the Fourth Proportional to 9,320.32, 13,920.64 and 8,440.96

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Solution

The fourth proportional to 9,320.32, 13,920.64 and 8,440.96 is: 12,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.32 : 13,920.64 = 8,440.96 : x
  2. Step 2: Convert to fraction form
    9,320.32/13,920.64 = 8,440.96/x
  3. Step 3: Cross multiply
    9,320.32x = 13,920.64 × 8,440.96
  4. Step 4: Simplify right side
    9,320.32x = 117,503,565.41
  5. Step 5: Solve for x
    x = 117,503,565.41/9,320.32
  6. Step 6: Final answer
    x = 12,607.25

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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.