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Finding the Fourth Proportional to 9,116.10, 13,675.99 and 2,877.08

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Solution

The fourth proportional to 9,116.10, 13,675.99 and 2,877.08 is: 4,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.10 : 13,675.99 = 2,877.08 : x
  2. Step 2: Convert to fraction form
    9,116.10/13,675.99 = 2,877.08/x
  3. Step 3: Cross multiply
    9,116.10x = 13,675.99 × 2,877.08
  4. Step 4: Simplify right side
    9,116.10x = 39,346,875.93
  5. Step 5: Solve for x
    x = 39,346,875.93/9,116.10
  6. Step 6: Final answer
    x = 4,316.19

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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.