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Finding the Fourth Proportional to 10,376.54, 14,317.88 and 9,851.12

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Solution

The fourth proportional to 10,376.54, 14,317.88 and 9,851.12 is: 13,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.54 : 14,317.88 = 9,851.12 : x
  2. Step 2: Convert to fraction form
    10,376.54/14,317.88 = 9,851.12/x
  3. Step 3: Cross multiply
    10,376.54x = 14,317.88 × 9,851.12
  4. Step 4: Simplify right side
    10,376.54x = 141,047,154.03
  5. Step 5: Solve for x
    x = 141,047,154.03/10,376.54
  6. Step 6: Final answer
    x = 13,592.89

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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.