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Finding the Fourth Proportional to 9,877.77, 13,640.48 and 6,347.19

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Solution

The fourth proportional to 9,877.77, 13,640.48 and 6,347.19 is: 8,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.77 : 13,640.48 = 6,347.19 : x
  2. Step 2: Convert to fraction form
    9,877.77/13,640.48 = 6,347.19/x
  3. Step 3: Cross multiply
    9,877.77x = 13,640.48 × 6,347.19
  4. Step 4: Simplify right side
    9,877.77x = 86,578,686.52
  5. Step 5: Solve for x
    x = 86,578,686.52/9,877.77
  6. Step 6: Final answer
    x = 8,765.00

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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.