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Finding the Fourth Proportional to 9,677.95, 13,355.18 and 5,699.23

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Solution

The fourth proportional to 9,677.95, 13,355.18 and 5,699.23 is: 7,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.95 : 13,355.18 = 5,699.23 : x
  2. Step 2: Convert to fraction form
    9,677.95/13,355.18 = 5,699.23/x
  3. Step 3: Cross multiply
    9,677.95x = 13,355.18 × 5,699.23
  4. Step 4: Simplify right side
    9,677.95x = 76,114,202.00
  5. Step 5: Solve for x
    x = 76,114,202.00/9,677.95
  6. Step 6: Final answer
    x = 7,864.70

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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.