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Finding the Fourth Proportional to 9,091.95, 12,547.62 and 5,114.04

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Solution

The fourth proportional to 9,091.95, 12,547.62 and 5,114.04 is: 7,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.95 : 12,547.62 = 5,114.04 : x
  2. Step 2: Convert to fraction form
    9,091.95/12,547.62 = 5,114.04/x
  3. Step 3: Cross multiply
    9,091.95x = 12,547.62 × 5,114.04
  4. Step 4: Simplify right side
    9,091.95x = 64,169,030.58
  5. Step 5: Solve for x
    x = 64,169,030.58/9,091.95
  6. Step 6: Final answer
    x = 7,057.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.