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Finding the Fourth Proportional to 7,147.80, 9,860.65 and 4,630.76

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Solution

The fourth proportional to 7,147.80, 9,860.65 and 4,630.76 is: 6,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.80 : 9,860.65 = 4,630.76 : x
  2. Step 2: Convert to fraction form
    7,147.80/9,860.65 = 4,630.76/x
  3. Step 3: Cross multiply
    7,147.80x = 9,860.65 × 4,630.76
  4. Step 4: Simplify right side
    7,147.80x = 45,662,303.59
  5. Step 5: Solve for x
    x = 45,662,303.59/7,147.80
  6. Step 6: Final answer
    x = 6,388.30

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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.