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Finding the Fourth Proportional to 9,762.18, 14,648.40 and 4,498.80

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Solution

The fourth proportional to 9,762.18, 14,648.40 and 4,498.80 is: 6,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.18 : 14,648.40 = 4,498.80 : x
  2. Step 2: Convert to fraction form
    9,762.18/14,648.40 = 4,498.80/x
  3. Step 3: Cross multiply
    9,762.18x = 14,648.40 × 4,498.80
  4. Step 4: Simplify right side
    9,762.18x = 65,900,221.92
  5. Step 5: Solve for x
    x = 65,900,221.92/9,762.18
  6. Step 6: Final answer
    x = 6,750.56

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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.