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Finding the Fourth Proportional to 8,977.36, 13,457.40 and 4,596.88

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Solution

The fourth proportional to 8,977.36, 13,457.40 and 4,596.88 is: 6,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.36 : 13,457.40 = 4,596.88 : x
  2. Step 2: Convert to fraction form
    8,977.36/13,457.40 = 4,596.88/x
  3. Step 3: Cross multiply
    8,977.36x = 13,457.40 × 4,596.88
  4. Step 4: Simplify right side
    8,977.36x = 61,862,052.91
  5. Step 5: Solve for x
    x = 61,862,052.91/8,977.36
  6. Step 6: Final answer
    x = 6,890.90

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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.