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Finding the Fourth Proportional to 9,457.85, 14,186.82 and 5,302.10

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Solution

The fourth proportional to 9,457.85, 14,186.82 and 5,302.10 is: 7,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.85 : 14,186.82 = 5,302.10 : x
  2. Step 2: Convert to fraction form
    9,457.85/14,186.82 = 5,302.10/x
  3. Step 3: Cross multiply
    9,457.85x = 14,186.82 × 5,302.10
  4. Step 4: Simplify right side
    9,457.85x = 75,219,938.32
  5. Step 5: Solve for x
    x = 75,219,938.32/9,457.85
  6. Step 6: Final answer
    x = 7,953.18

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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.