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Finding the Fourth Proportional to 9,726.88, 14,585.28 and 5,779.84

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Solution

The fourth proportional to 9,726.88, 14,585.28 and 5,779.84 is: 8,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.88 : 14,585.28 = 5,779.84 : x
  2. Step 2: Convert to fraction form
    9,726.88/14,585.28 = 5,779.84/x
  3. Step 3: Cross multiply
    9,726.88x = 14,585.28 × 5,779.84
  4. Step 4: Simplify right side
    9,726.88x = 84,300,584.76
  5. Step 5: Solve for x
    x = 84,300,584.76/9,726.88
  6. Step 6: Final answer
    x = 8,666.77

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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.