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Finding the Fourth Proportional to 9,677.61, 13,355.28 and 5,485.86

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Solution

The fourth proportional to 9,677.61, 13,355.28 and 5,485.86 is: 7,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.61 : 13,355.28 = 5,485.86 : x
  2. Step 2: Convert to fraction form
    9,677.61/13,355.28 = 5,485.86/x
  3. Step 3: Cross multiply
    9,677.61x = 13,355.28 × 5,485.86
  4. Step 4: Simplify right side
    9,677.61x = 73,265,196.34
  5. Step 5: Solve for x
    x = 73,265,196.34/9,677.61
  6. Step 6: Final answer
    x = 7,570.59

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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.