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Finding the Fourth Proportional to 9,457.64, 13,052.14 and 5,265.88

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Solution

The fourth proportional to 9,457.64, 13,052.14 and 5,265.88 is: 7,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.64 : 13,052.14 = 5,265.88 : x
  2. Step 2: Convert to fraction form
    9,457.64/13,052.14 = 5,265.88/x
  3. Step 3: Cross multiply
    9,457.64x = 13,052.14 × 5,265.88
  4. Step 4: Simplify right side
    9,457.64x = 68,731,002.98
  5. Step 5: Solve for x
    x = 68,731,002.98/9,457.64
  6. Step 6: Final answer
    x = 7,267.25

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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.