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Finding the Fourth Proportional to 9,740.25, 14,598 and 6,228.90

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Solution

The fourth proportional to 9,740.25, 14,598 and 6,228.90 is: 9,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.25 : 14,598 = 6,228.90 : x
  2. Step 2: Convert to fraction form
    9,740.25/14,598 = 6,228.90/x
  3. Step 3: Cross multiply
    9,740.25x = 14,598 × 6,228.90
  4. Step 4: Simplify right side
    9,740.25x = 90,929,482.20
  5. Step 5: Solve for x
    x = 90,929,482.20/9,740.25
  6. Step 6: Final answer
    x = 9,335.44

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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.