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Finding the Fourth Proportional to 9,042.80, 13,547.06 and 5,333.99

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Solution

The fourth proportional to 9,042.80, 13,547.06 and 5,333.99 is: 7,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.80 : 13,547.06 = 5,333.99 : x
  2. Step 2: Convert to fraction form
    9,042.80/13,547.06 = 5,333.99/x
  3. Step 3: Cross multiply
    9,042.80x = 13,547.06 × 5,333.99
  4. Step 4: Simplify right side
    9,042.80x = 72,259,855.90
  5. Step 5: Solve for x
    x = 72,259,855.90/9,042.80
  6. Step 6: Final answer
    x = 7,990.87

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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.