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Finding the Fourth Proportional to 10,492.29, 14,480.78 and 9,606.51

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Solution

The fourth proportional to 10,492.29, 14,480.78 and 9,606.51 is: 13,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.29 : 14,480.78 = 9,606.51 : x
  2. Step 2: Convert to fraction form
    10,492.29/14,480.78 = 9,606.51/x
  3. Step 3: Cross multiply
    10,492.29x = 14,480.78 × 9,606.51
  4. Step 4: Simplify right side
    10,492.29x = 139,109,709.85
  5. Step 5: Solve for x
    x = 139,109,709.85/10,492.29
  6. Step 6: Final answer
    x = 13,258.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.