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Finding the Fourth Proportional to 9,041.77, 13,545 and 6,230.11

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Solution

The fourth proportional to 9,041.77, 13,545 and 6,230.11 is: 9,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.77 : 13,545 = 6,230.11 : x
  2. Step 2: Convert to fraction form
    9,041.77/13,545 = 6,230.11/x
  3. Step 3: Cross multiply
    9,041.77x = 13,545 × 6,230.11
  4. Step 4: Simplify right side
    9,041.77x = 84,386,839.95
  5. Step 5: Solve for x
    x = 84,386,839.95/9,041.77
  6. Step 6: Final answer
    x = 9,333.00

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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.