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Finding the Fourth Proportional to 7,051.40, 9,730.86 and 3,864.72

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Solution

The fourth proportional to 7,051.40, 9,730.86 and 3,864.72 is: 5,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.40 : 9,730.86 = 3,864.72 : x
  2. Step 2: Convert to fraction form
    7,051.40/9,730.86 = 3,864.72/x
  3. Step 3: Cross multiply
    7,051.40x = 9,730.86 × 3,864.72
  4. Step 4: Simplify right side
    7,051.40x = 37,607,049.26
  5. Step 5: Solve for x
    x = 37,607,049.26/7,051.40
  6. Step 6: Final answer
    x = 5,333.27

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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.