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Finding the Fourth Proportional to 9,033.84, 13,547.94 and 5,335.08

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Solution

The fourth proportional to 9,033.84, 13,547.94 and 5,335.08 is: 8,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.84 : 13,547.94 = 5,335.08 : x
  2. Step 2: Convert to fraction form
    9,033.84/13,547.94 = 5,335.08/x
  3. Step 3: Cross multiply
    9,033.84x = 13,547.94 × 5,335.08
  4. Step 4: Simplify right side
    9,033.84x = 72,279,343.74
  5. Step 5: Solve for x
    x = 72,279,343.74/9,033.84
  6. Step 6: Final answer
    x = 8,000.95

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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.