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Finding the Fourth Proportional to 7,030.26, 9,702 and 3,886.74

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Solution

The fourth proportional to 7,030.26, 9,702 and 3,886.74 is: 5,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.26 : 9,702 = 3,886.74 : x
  2. Step 2: Convert to fraction form
    7,030.26/9,702 = 3,886.74/x
  3. Step 3: Cross multiply
    7,030.26x = 9,702 × 3,886.74
  4. Step 4: Simplify right side
    7,030.26x = 37,709,151.48
  5. Step 5: Solve for x
    x = 37,709,151.48/7,030.26
  6. Step 6: Final answer
    x = 5,363.83

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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.