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Finding the Fourth Proportional to 9,016.06, 13,492.41 and 7,798.78

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Solution

The fourth proportional to 9,016.06, 13,492.41 and 7,798.78 is: 11,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.06 : 13,492.41 = 7,798.78 : x
  2. Step 2: Convert to fraction form
    9,016.06/13,492.41 = 7,798.78/x
  3. Step 3: Cross multiply
    9,016.06x = 13,492.41 × 7,798.78
  4. Step 4: Simplify right side
    9,016.06x = 105,224,337.26
  5. Step 5: Solve for x
    x = 105,224,337.26/9,016.06
  6. Step 6: Final answer
    x = 11,670.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.