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Finding the Fourth Proportional to 6,089.04, 9,112.50 and 3,748.14

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Solution

The fourth proportional to 6,089.04, 9,112.50 and 3,748.14 is: 5,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.04 : 9,112.50 = 3,748.14 : x
  2. Step 2: Convert to fraction form
    6,089.04/9,112.50 = 3,748.14/x
  3. Step 3: Cross multiply
    6,089.04x = 9,112.50 × 3,748.14
  4. Step 4: Simplify right side
    6,089.04x = 34,154,925.75
  5. Step 5: Solve for x
    x = 34,154,925.75/6,089.04
  6. Step 6: Final answer
    x = 5,609.25

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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.