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Finding the Fourth Proportional to 9,097.58, 13,633.17 and 4,934.06

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Solution

The fourth proportional to 9,097.58, 13,633.17 and 4,934.06 is: 7,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.58 : 13,633.17 = 4,934.06 : x
  2. Step 2: Convert to fraction form
    9,097.58/13,633.17 = 4,934.06/x
  3. Step 3: Cross multiply
    9,097.58x = 13,633.17 × 4,934.06
  4. Step 4: Simplify right side
    9,097.58x = 67,266,878.77
  5. Step 5: Solve for x
    x = 67,266,878.77/9,097.58
  6. Step 6: Final answer
    x = 7,393.93

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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.