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Finding the Fourth Proportional to 9,748.64, 13,456.77 and 7,590.92

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Solution

The fourth proportional to 9,748.64, 13,456.77 and 7,590.92 is: 10,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.64 : 13,456.77 = 7,590.92 : x
  2. Step 2: Convert to fraction form
    9,748.64/13,456.77 = 7,590.92/x
  3. Step 3: Cross multiply
    9,748.64x = 13,456.77 × 7,590.92
  4. Step 4: Simplify right side
    9,748.64x = 102,149,264.53
  5. Step 5: Solve for x
    x = 102,149,264.53/9,748.64
  6. Step 6: Final answer
    x = 10,478.31

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