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Finding the Fourth Proportional to 9,592.64, 14,386.20 and 4,047.23

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Solution

The fourth proportional to 9,592.64, 14,386.20 and 4,047.23 is: 6,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.64 : 14,386.20 = 4,047.23 : x
  2. Step 2: Convert to fraction form
    9,592.64/14,386.20 = 4,047.23/x
  3. Step 3: Cross multiply
    9,592.64x = 14,386.20 × 4,047.23
  4. Step 4: Simplify right side
    9,592.64x = 58,224,260.23
  5. Step 5: Solve for x
    x = 58,224,260.23/9,592.64
  6. Step 6: Final answer
    x = 6,069.68

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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.