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Finding the Fourth Proportional to 9,810.44, 14,715.66 and 6,901.76

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Solution

The fourth proportional to 9,810.44, 14,715.66 and 6,901.76 is: 10,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.44 : 14,715.66 = 6,901.76 : x
  2. Step 2: Convert to fraction form
    9,810.44/14,715.66 = 6,901.76/x
  3. Step 3: Cross multiply
    9,810.44x = 14,715.66 × 6,901.76
  4. Step 4: Simplify right side
    9,810.44x = 101,563,953.56
  5. Step 5: Solve for x
    x = 101,563,953.56/9,810.44
  6. Step 6: Final answer
    x = 10,352.64

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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.