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Finding the Fourth Proportional to 8,946.40, 13,421.76 and 4,016.16

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Solution

The fourth proportional to 8,946.40, 13,421.76 and 4,016.16 is: 6,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.40 : 13,421.76 = 4,016.16 : x
  2. Step 2: Convert to fraction form
    8,946.40/13,421.76 = 4,016.16/x
  3. Step 3: Cross multiply
    8,946.40x = 13,421.76 × 4,016.16
  4. Step 4: Simplify right side
    8,946.40x = 53,903,935.64
  5. Step 5: Solve for x
    x = 53,903,935.64/8,946.40
  6. Step 6: Final answer
    x = 6,025.21

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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.