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Finding the Fourth Proportional to 9,457.80, 14,186.70 and 2,532.30

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Solution

The fourth proportional to 9,457.80, 14,186.70 and 2,532.30 is: 3,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.80 : 14,186.70 = 2,532.30 : x
  2. Step 2: Convert to fraction form
    9,457.80/14,186.70 = 2,532.30/x
  3. Step 3: Cross multiply
    9,457.80x = 14,186.70 × 2,532.30
  4. Step 4: Simplify right side
    9,457.80x = 35,924,980.41
  5. Step 5: Solve for x
    x = 35,924,980.41/9,457.80
  6. Step 6: Final answer
    x = 3,798.45

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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.