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Finding the Fourth Proportional to 6,705.47, 9,253.61 and 4,054.65

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Solution

The fourth proportional to 6,705.47, 9,253.61 and 4,054.65 is: 5,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.47 : 9,253.61 = 4,054.65 : x
  2. Step 2: Convert to fraction form
    6,705.47/9,253.61 = 4,054.65/x
  3. Step 3: Cross multiply
    6,705.47x = 9,253.61 × 4,054.65
  4. Step 4: Simplify right side
    6,705.47x = 37,520,149.79
  5. Step 5: Solve for x
    x = 37,520,149.79/6,705.47
  6. Step 6: Final answer
    x = 5,595.45

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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.