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Finding the Fourth Proportional to 9,152.04, 13,716.98 and 6,549.50

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Solution

The fourth proportional to 9,152.04, 13,716.98 and 6,549.50 is: 9,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.04 : 13,716.98 = 6,549.50 : x
  2. Step 2: Convert to fraction form
    9,152.04/13,716.98 = 6,549.50/x
  3. Step 3: Cross multiply
    9,152.04x = 13,716.98 × 6,549.50
  4. Step 4: Simplify right side
    9,152.04x = 89,839,360.51
  5. Step 5: Solve for x
    x = 89,839,360.51/9,152.04
  6. Step 6: Final answer
    x = 9,816.32

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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.