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Finding the Fourth Proportional to 9,655.84, 13,326.79 and 5,677.16

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Solution

The fourth proportional to 9,655.84, 13,326.79 and 5,677.16 is: 7,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.84 : 13,326.79 = 5,677.16 : x
  2. Step 2: Convert to fraction form
    9,655.84/13,326.79 = 5,677.16/x
  3. Step 3: Cross multiply
    9,655.84x = 13,326.79 × 5,677.16
  4. Step 4: Simplify right side
    9,655.84x = 75,658,319.12
  5. Step 5: Solve for x
    x = 75,658,319.12/9,655.84
  6. Step 6: Final answer
    x = 7,835.50

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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.