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Finding the Fourth Proportional to 9,113.70, 12,580.04 and 5,338.08

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Solution

The fourth proportional to 9,113.70, 12,580.04 and 5,338.08 is: 7,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.70 : 12,580.04 = 5,338.08 : x
  2. Step 2: Convert to fraction form
    9,113.70/12,580.04 = 5,338.08/x
  3. Step 3: Cross multiply
    9,113.70x = 12,580.04 × 5,338.08
  4. Step 4: Simplify right side
    9,113.70x = 67,153,259.92
  5. Step 5: Solve for x
    x = 67,153,259.92/9,113.70
  6. Step 6: Final answer
    x = 7,368.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.