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Finding the Fourth Proportional to 6,209.60, 9,301.16 and 4,970.30

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Solution

The fourth proportional to 6,209.60, 9,301.16 and 4,970.30 is: 7,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.60 : 9,301.16 = 4,970.30 : x
  2. Step 2: Convert to fraction form
    6,209.60/9,301.16 = 4,970.30/x
  3. Step 3: Cross multiply
    6,209.60x = 9,301.16 × 4,970.30
  4. Step 4: Simplify right side
    6,209.60x = 46,229,521.47
  5. Step 5: Solve for x
    x = 46,229,521.47/6,209.60
  6. Step 6: Final answer
    x = 7,444.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.