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Finding the Fourth Proportional to 9,599.77, 14,389.75 and 3,675.26

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Solution

The fourth proportional to 9,599.77, 14,389.75 and 3,675.26 is: 5,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.77 : 14,389.75 = 3,675.26 : x
  2. Step 2: Convert to fraction form
    9,599.77/14,389.75 = 3,675.26/x
  3. Step 3: Cross multiply
    9,599.77x = 14,389.75 × 3,675.26
  4. Step 4: Simplify right side
    9,599.77x = 52,886,032.21
  5. Step 5: Solve for x
    x = 52,886,032.21/9,599.77
  6. Step 6: Final answer
    x = 5,509.10

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Why These Related Problems?

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