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Finding the Fourth Proportional to 9,788.76, 14,671.80 and 7,590.42

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Solution

The fourth proportional to 9,788.76, 14,671.80 and 7,590.42 is: 11,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.76 : 14,671.80 = 7,590.42 : x
  2. Step 2: Convert to fraction form
    9,788.76/14,671.80 = 7,590.42/x
  3. Step 3: Cross multiply
    9,788.76x = 14,671.80 × 7,590.42
  4. Step 4: Simplify right side
    9,788.76x = 111,365,124.16
  5. Step 5: Solve for x
    x = 111,365,124.16/9,788.76
  6. Step 6: Final answer
    x = 11,376.84

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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.