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Finding the Fourth Proportional to 7,009.05, 9,738.84 and 6,935.93

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Solution

The fourth proportional to 7,009.05, 9,738.84 and 6,935.93 is: 9,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.05 : 9,738.84 = 6,935.93 : x
  2. Step 2: Convert to fraction form
    7,009.05/9,738.84 = 6,935.93/x
  3. Step 3: Cross multiply
    7,009.05x = 9,738.84 × 6,935.93
  4. Step 4: Simplify right side
    7,009.05x = 67,547,863.83
  5. Step 5: Solve for x
    x = 67,547,863.83/7,009.05
  6. Step 6: Final answer
    x = 9,637.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.