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Finding the Fourth Proportional to 9,876.32, 14,810.16 and 3,716

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Solution

The fourth proportional to 9,876.32, 14,810.16 and 3,716 is: 5,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.32 : 14,810.16 = 3,716 : x
  2. Step 2: Convert to fraction form
    9,876.32/14,810.16 = 3,716/x
  3. Step 3: Cross multiply
    9,876.32x = 14,810.16 × 3,716
  4. Step 4: Simplify right side
    9,876.32x = 55,034,554.56
  5. Step 5: Solve for x
    x = 55,034,554.56/9,876.32
  6. Step 6: Final answer
    x = 5,572.37

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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.