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Finding the Fourth Proportional to 9,810.67, 14,696.28 and 4,538.28

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Solution

The fourth proportional to 9,810.67, 14,696.28 and 4,538.28 is: 6,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.67 : 14,696.28 = 4,538.28 : x
  2. Step 2: Convert to fraction form
    9,810.67/14,696.28 = 4,538.28/x
  3. Step 3: Cross multiply
    9,810.67x = 14,696.28 × 4,538.28
  4. Step 4: Simplify right side
    9,810.67x = 66,695,833.60
  5. Step 5: Solve for x
    x = 66,695,833.60/9,810.67
  6. Step 6: Final answer
    x = 6,798.29

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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.