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Finding the Fourth Proportional to 9,554.32, 14,230.64 and 9,127.84

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Solution

The fourth proportional to 9,554.32, 14,230.64 and 9,127.84 is: 13,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.32 : 14,230.64 = 9,127.84 : x
  2. Step 2: Convert to fraction form
    9,554.32/14,230.64 = 9,127.84/x
  3. Step 3: Cross multiply
    9,554.32x = 14,230.64 × 9,127.84
  4. Step 4: Simplify right side
    9,554.32x = 129,895,005.02
  5. Step 5: Solve for x
    x = 129,895,005.02/9,554.32
  6. Step 6: Final answer
    x = 13,595.42

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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.