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Finding the Fourth Proportional to 9,637.88, 14,465.08 and 6,871.32

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Solution

The fourth proportional to 9,637.88, 14,465.08 and 6,871.32 is: 10,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.88 : 14,465.08 = 6,871.32 : x
  2. Step 2: Convert to fraction form
    9,637.88/14,465.08 = 6,871.32/x
  3. Step 3: Cross multiply
    9,637.88x = 14,465.08 × 6,871.32
  4. Step 4: Simplify right side
    9,637.88x = 99,394,193.51
  5. Step 5: Solve for x
    x = 99,394,193.51/9,637.88
  6. Step 6: Final answer
    x = 10,312.87

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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.