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Finding the Fourth Proportional to 9,670.16, 13,337.28 and 6,482.41

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Solution

The fourth proportional to 9,670.16, 13,337.28 and 6,482.41 is: 8,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.16 : 13,337.28 = 6,482.41 : x
  2. Step 2: Convert to fraction form
    9,670.16/13,337.28 = 6,482.41/x
  3. Step 3: Cross multiply
    9,670.16x = 13,337.28 × 6,482.41
  4. Step 4: Simplify right side
    9,670.16x = 86,457,717.24
  5. Step 5: Solve for x
    x = 86,457,717.24/9,670.16
  6. Step 6: Final answer
    x = 8,940.67

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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.