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Finding the Fourth Proportional to 9,587.75, 14,354.58 and 5,074.58

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Solution

The fourth proportional to 9,587.75, 14,354.58 and 5,074.58 is: 7,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.75 : 14,354.58 = 5,074.58 : x
  2. Step 2: Convert to fraction form
    9,587.75/14,354.58 = 5,074.58/x
  3. Step 3: Cross multiply
    9,587.75x = 14,354.58 × 5,074.58
  4. Step 4: Simplify right side
    9,587.75x = 72,843,428.69
  5. Step 5: Solve for x
    x = 72,843,428.69/9,587.75
  6. Step 6: Final answer
    x = 7,597.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.