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Finding the Fourth Proportional to 10,499.93, 14,485.47 and 6,956.99

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Solution

The fourth proportional to 10,499.93, 14,485.47 and 6,956.99 is: 9,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.93 : 14,485.47 = 6,956.99 : x
  2. Step 2: Convert to fraction form
    10,499.93/14,485.47 = 6,956.99/x
  3. Step 3: Cross multiply
    10,499.93x = 14,485.47 × 6,956.99
  4. Step 4: Simplify right side
    10,499.93x = 100,775,225.74
  5. Step 5: Solve for x
    x = 100,775,225.74/10,499.93
  6. Step 6: Final answer
    x = 9,597.71

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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.