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Finding the Fourth Proportional to 9,851.10, 13,577.67 and 7,712.70

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Solution

The fourth proportional to 9,851.10, 13,577.67 and 7,712.70 is: 10,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.10 : 13,577.67 = 7,712.70 : x
  2. Step 2: Convert to fraction form
    9,851.10/13,577.67 = 7,712.70/x
  3. Step 3: Cross multiply
    9,851.10x = 13,577.67 × 7,712.70
  4. Step 4: Simplify right side
    9,851.10x = 104,720,495.41
  5. Step 5: Solve for x
    x = 104,720,495.41/9,851.10
  6. Step 6: Final answer
    x = 10,630.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.