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Finding the Fourth Proportional to 9,573.47, 14,360.19 and 3,000.16

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Solution

The fourth proportional to 9,573.47, 14,360.19 and 3,000.16 is: 4,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.47 : 14,360.19 = 3,000.16 : x
  2. Step 2: Convert to fraction form
    9,573.47/14,360.19 = 3,000.16/x
  3. Step 3: Cross multiply
    9,573.47x = 14,360.19 × 3,000.16
  4. Step 4: Simplify right side
    9,573.47x = 43,082,867.63
  5. Step 5: Solve for x
    x = 43,082,867.63/9,573.47
  6. Step 6: Final answer
    x = 4,500.24

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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.