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Finding the Fourth Proportional to 9,525.66, 14,297.73 and 4,598.76

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Solution

The fourth proportional to 9,525.66, 14,297.73 and 4,598.76 is: 6,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.66 : 14,297.73 = 4,598.76 : x
  2. Step 2: Convert to fraction form
    9,525.66/14,297.73 = 4,598.76/x
  3. Step 3: Cross multiply
    9,525.66x = 14,297.73 × 4,598.76
  4. Step 4: Simplify right side
    9,525.66x = 65,751,828.81
  5. Step 5: Solve for x
    x = 65,751,828.81/9,525.66
  6. Step 6: Final answer
    x = 6,902.60

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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.