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Finding the Fourth Proportional to 9,136.40, 13,696.35 and 4,203.50

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Solution

The fourth proportional to 9,136.40, 13,696.35 and 4,203.50 is: 6,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.40 : 13,696.35 = 4,203.50 : x
  2. Step 2: Convert to fraction form
    9,136.40/13,696.35 = 4,203.50/x
  3. Step 3: Cross multiply
    9,136.40x = 13,696.35 × 4,203.50
  4. Step 4: Simplify right side
    9,136.40x = 57,572,538.74
  5. Step 5: Solve for x
    x = 57,572,538.74/9,136.40
  6. Step 6: Final answer
    x = 6,301.45

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Why These Related Problems?

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