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Finding the Fourth Proportional to 9,851.10, 14,752.35 and 6,546.30

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Solution

The fourth proportional to 9,851.10, 14,752.35 and 6,546.30 is: 9,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.10 : 14,752.35 = 6,546.30 : x
  2. Step 2: Convert to fraction form
    9,851.10/14,752.35 = 6,546.30/x
  3. Step 3: Cross multiply
    9,851.10x = 14,752.35 × 6,546.30
  4. Step 4: Simplify right side
    9,851.10x = 96,573,308.81
  5. Step 5: Solve for x
    x = 96,573,308.81/9,851.10
  6. Step 6: Final answer
    x = 9,803.30

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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.