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Finding the Fourth Proportional to 9,423, 14,189.40 and 6,975.18

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Solution

The fourth proportional to 9,423, 14,189.40 and 6,975.18 is: 10,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423 : 14,189.40 = 6,975.18 : x
  2. Step 2: Convert to fraction form
    9,423/14,189.40 = 6,975.18/x
  3. Step 3: Cross multiply
    9,423x = 14,189.40 × 6,975.18
  4. Step 4: Simplify right side
    9,423x = 98,973,619.09
  5. Step 5: Solve for x
    x = 98,973,619.09/9,423
  6. Step 6: Final answer
    x = 10,503.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.