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Finding the Fourth Proportional to 9,656.91, 14,492.66 and 7,066.53

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Solution

The fourth proportional to 9,656.91, 14,492.66 and 7,066.53 is: 10,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.91 : 14,492.66 = 7,066.53 : x
  2. Step 2: Convert to fraction form
    9,656.91/14,492.66 = 7,066.53/x
  3. Step 3: Cross multiply
    9,656.91x = 14,492.66 × 7,066.53
  4. Step 4: Simplify right side
    9,656.91x = 102,412,781.34
  5. Step 5: Solve for x
    x = 102,412,781.34/9,656.91
  6. Step 6: Final answer
    x = 10,605.13

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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.