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Finding the Fourth Proportional to 9,643.68, 14,381.04 and 9,556.08

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Solution

The fourth proportional to 9,643.68, 14,381.04 and 9,556.08 is: 14,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.68 : 14,381.04 = 9,556.08 : x
  2. Step 2: Convert to fraction form
    9,643.68/14,381.04 = 9,556.08/x
  3. Step 3: Cross multiply
    9,643.68x = 14,381.04 × 9,556.08
  4. Step 4: Simplify right side
    9,643.68x = 137,426,368.72
  5. Step 5: Solve for x
    x = 137,426,368.72/9,643.68
  6. Step 6: Final answer
    x = 14,250.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.