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Finding the Fourth Proportional to 10,758.24, 14,812.62 and 9,774.06

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Solution

The fourth proportional to 10,758.24, 14,812.62 and 9,774.06 is: 13,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.24 : 14,812.62 = 9,774.06 : x
  2. Step 2: Convert to fraction form
    10,758.24/14,812.62 = 9,774.06/x
  3. Step 3: Cross multiply
    10,758.24x = 14,812.62 × 9,774.06
  4. Step 4: Simplify right side
    10,758.24x = 144,779,436.64
  5. Step 5: Solve for x
    x = 144,779,436.64/10,758.24
  6. Step 6: Final answer
    x = 13,457.54

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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.