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Finding the Fourth Proportional to 9,526.24, 14,263.76 and 7,764.02

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Solution

The fourth proportional to 9,526.24, 14,263.76 and 7,764.02 is: 11,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.24 : 14,263.76 = 7,764.02 : x
  2. Step 2: Convert to fraction form
    9,526.24/14,263.76 = 7,764.02/x
  3. Step 3: Cross multiply
    9,526.24x = 14,263.76 × 7,764.02
  4. Step 4: Simplify right side
    9,526.24x = 110,744,117.92
  5. Step 5: Solve for x
    x = 110,744,117.92/9,526.24
  6. Step 6: Final answer
    x = 11,625.17

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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.