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Finding the Fourth Proportional to 9,588.94, 13,225.92 and 6,400.63

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Solution

The fourth proportional to 9,588.94, 13,225.92 and 6,400.63 is: 8,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.94 : 13,225.92 = 6,400.63 : x
  2. Step 2: Convert to fraction form
    9,588.94/13,225.92 = 6,400.63/x
  3. Step 3: Cross multiply
    9,588.94x = 13,225.92 × 6,400.63
  4. Step 4: Simplify right side
    9,588.94x = 84,654,130.20
  5. Step 5: Solve for x
    x = 84,654,130.20/9,588.94
  6. Step 6: Final answer
    x = 8,828.31

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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.