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Finding the Fourth Proportional to 9,526.86, 14,277.06 and 7,437.42

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Solution

The fourth proportional to 9,526.86, 14,277.06 and 7,437.42 is: 11,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.86 : 14,277.06 = 7,437.42 : x
  2. Step 2: Convert to fraction form
    9,526.86/14,277.06 = 7,437.42/x
  3. Step 3: Cross multiply
    9,526.86x = 14,277.06 × 7,437.42
  4. Step 4: Simplify right side
    9,526.86x = 106,184,491.59
  5. Step 5: Solve for x
    x = 106,184,491.59/9,526.86
  6. Step 6: Final answer
    x = 11,145.80

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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.