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Finding the Fourth Proportional to 9,095.34, 12,554.89 and 5,740.34

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Solution

The fourth proportional to 9,095.34, 12,554.89 and 5,740.34 is: 7,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.34 : 12,554.89 = 5,740.34 : x
  2. Step 2: Convert to fraction form
    9,095.34/12,554.89 = 5,740.34/x
  3. Step 3: Cross multiply
    9,095.34x = 12,554.89 × 5,740.34
  4. Step 4: Simplify right side
    9,095.34x = 72,069,354.30
  5. Step 5: Solve for x
    x = 72,069,354.30/9,095.34
  6. Step 6: Final answer
    x = 7,923.77

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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.