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Finding the Fourth Proportional to 9,503.36, 14,319.92 and 7,809.92

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Solution

The fourth proportional to 9,503.36, 14,319.92 and 7,809.92 is: 11,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.36 : 14,319.92 = 7,809.92 : x
  2. Step 2: Convert to fraction form
    9,503.36/14,319.92 = 7,809.92/x
  3. Step 3: Cross multiply
    9,503.36x = 14,319.92 × 7,809.92
  4. Step 4: Simplify right side
    9,503.36x = 111,837,429.61
  5. Step 5: Solve for x
    x = 111,837,429.61/9,503.36
  6. Step 6: Final answer
    x = 11,768.20

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1.5x scale

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.