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Finding the Fourth Proportional to 9,539.84, 14,188.78 and 9,436.16

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Solution

The fourth proportional to 9,539.84, 14,188.78 and 9,436.16 is: 14,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.84 : 14,188.78 = 9,436.16 : x
  2. Step 2: Convert to fraction form
    9,539.84/14,188.78 = 9,436.16/x
  3. Step 3: Cross multiply
    9,539.84x = 14,188.78 × 9,436.16
  4. Step 4: Simplify right side
    9,539.84x = 133,887,598.28
  5. Step 5: Solve for x
    x = 133,887,598.28/9,539.84
  6. Step 6: Final answer
    x = 14,034.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.