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Finding the Fourth Proportional to 9,670.95, 13,346.78 and 5,690.07

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Solution

The fourth proportional to 9,670.95, 13,346.78 and 5,690.07 is: 7,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.95 : 13,346.78 = 5,690.07 : x
  2. Step 2: Convert to fraction form
    9,670.95/13,346.78 = 5,690.07/x
  3. Step 3: Cross multiply
    9,670.95x = 13,346.78 × 5,690.07
  4. Step 4: Simplify right side
    9,670.95x = 75,944,084.02
  5. Step 5: Solve for x
    x = 75,944,084.02/9,670.95
  6. Step 6: Final answer
    x = 7,852.80

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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.