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Finding the Fourth Proportional to 9,726.65, 14,492.03 and 9,090.12

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Solution

The fourth proportional to 9,726.65, 14,492.03 and 9,090.12 is: 13,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.65 : 14,492.03 = 9,090.12 : x
  2. Step 2: Convert to fraction form
    9,726.65/14,492.03 = 9,090.12/x
  3. Step 3: Cross multiply
    9,726.65x = 14,492.03 × 9,090.12
  4. Step 4: Simplify right side
    9,726.65x = 131,734,246.29
  5. Step 5: Solve for x
    x = 131,734,246.29/9,726.65
  6. Step 6: Final answer
    x = 13,543.65

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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.