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Finding the Fourth Proportional to 9,848.48, 14,771.64 and 4,917.20

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Solution

The fourth proportional to 9,848.48, 14,771.64 and 4,917.20 is: 7,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.48 : 14,771.64 = 4,917.20 : x
  2. Step 2: Convert to fraction form
    9,848.48/14,771.64 = 4,917.20/x
  3. Step 3: Cross multiply
    9,848.48x = 14,771.64 × 4,917.20
  4. Step 4: Simplify right side
    9,848.48x = 72,635,108.21
  5. Step 5: Solve for x
    x = 72,635,108.21/9,848.48
  6. Step 6: Final answer
    x = 7,375.26

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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.