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Finding the Fourth Proportional to 9,503.80, 13,115.34 and 5,312

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Solution

The fourth proportional to 9,503.80, 13,115.34 and 5,312 is: 7,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.80 : 13,115.34 = 5,312 : x
  2. Step 2: Convert to fraction form
    9,503.80/13,115.34 = 5,312/x
  3. Step 3: Cross multiply
    9,503.80x = 13,115.34 × 5,312
  4. Step 4: Simplify right side
    9,503.80x = 69,668,686.08
  5. Step 5: Solve for x
    x = 69,668,686.08/9,503.80
  6. Step 6: Final answer
    x = 7,330.61

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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.