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Finding the Fourth Proportional to 9,659.30, 14,490.16 and 3,417.84

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Solution

The fourth proportional to 9,659.30, 14,490.16 and 3,417.84 is: 5,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.30 : 14,490.16 = 3,417.84 : x
  2. Step 2: Convert to fraction form
    9,659.30/14,490.16 = 3,417.84/x
  3. Step 3: Cross multiply
    9,659.30x = 14,490.16 × 3,417.84
  4. Step 4: Simplify right side
    9,659.30x = 49,525,048.45
  5. Step 5: Solve for x
    x = 49,525,048.45/9,659.30
  6. Step 6: Final answer
    x = 5,127.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.