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Finding the Fourth Proportional to 9,593.64, 14,387.70 and 4,048.23

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Solution

The fourth proportional to 9,593.64, 14,387.70 and 4,048.23 is: 6,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.64 : 14,387.70 = 4,048.23 : x
  2. Step 2: Convert to fraction form
    9,593.64/14,387.70 = 4,048.23/x
  3. Step 3: Cross multiply
    9,593.64x = 14,387.70 × 4,048.23
  4. Step 4: Simplify right side
    9,593.64x = 58,244,718.77
  5. Step 5: Solve for x
    x = 58,244,718.77/9,593.64
  6. Step 6: Final answer
    x = 6,071.18

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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.