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Finding the Fourth Proportional to 7,030.39, 9,701.56 and 3,886.38

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Solution

The fourth proportional to 7,030.39, 9,701.56 and 3,886.38 is: 5,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.39 : 9,701.56 = 3,886.38 : x
  2. Step 2: Convert to fraction form
    7,030.39/9,701.56 = 3,886.38/x
  3. Step 3: Cross multiply
    7,030.39x = 9,701.56 × 3,886.38
  4. Step 4: Simplify right side
    7,030.39x = 37,703,890.53
  5. Step 5: Solve for x
    x = 37,703,890.53/7,030.39
  6. Step 6: Final answer
    x = 5,362.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.