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Finding the Fourth Proportional to 9,876.52, 14,814.16 and 3,302.14

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Solution

The fourth proportional to 9,876.52, 14,814.16 and 3,302.14 is: 4,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.52 : 14,814.16 = 3,302.14 : x
  2. Step 2: Convert to fraction form
    9,876.52/14,814.16 = 3,302.14/x
  3. Step 3: Cross multiply
    9,876.52x = 14,814.16 × 3,302.14
  4. Step 4: Simplify right side
    9,876.52x = 48,918,430.30
  5. Step 5: Solve for x
    x = 48,918,430.30/9,876.52
  6. Step 6: Final answer
    x = 4,953.00

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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.