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Finding the Fourth Proportional to 9,715.95, 14,528.97 and 7,376.47

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Solution

The fourth proportional to 9,715.95, 14,528.97 and 7,376.47 is: 11,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.95 : 14,528.97 = 7,376.47 : x
  2. Step 2: Convert to fraction form
    9,715.95/14,528.97 = 7,376.47/x
  3. Step 3: Cross multiply
    9,715.95x = 14,528.97 × 7,376.47
  4. Step 4: Simplify right side
    9,715.95x = 107,172,475.01
  5. Step 5: Solve for x
    x = 107,172,475.01/9,715.95
  6. Step 6: Final answer
    x = 11,030.57

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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.