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Finding the Fourth Proportional to 9,643.61, 13,313.99 and 6,292.23

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Solution

The fourth proportional to 9,643.61, 13,313.99 and 6,292.23 is: 8,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.61 : 13,313.99 = 6,292.23 : x
  2. Step 2: Convert to fraction form
    9,643.61/13,313.99 = 6,292.23/x
  3. Step 3: Cross multiply
    9,643.61x = 13,313.99 × 6,292.23
  4. Step 4: Simplify right side
    9,643.61x = 83,774,655.84
  5. Step 5: Solve for x
    x = 83,774,655.84/9,643.61
  6. Step 6: Final answer
    x = 8,687.07

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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.