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Finding the Fourth Proportional to 9,643.34, 14,448.48 and 5,263.86

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Solution

The fourth proportional to 9,643.34, 14,448.48 and 5,263.86 is: 7,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.34 : 14,448.48 = 5,263.86 : x
  2. Step 2: Convert to fraction form
    9,643.34/14,448.48 = 5,263.86/x
  3. Step 3: Cross multiply
    9,643.34x = 14,448.48 × 5,263.86
  4. Step 4: Simplify right side
    9,643.34x = 76,054,775.93
  5. Step 5: Solve for x
    x = 76,054,775.93/9,643.34
  6. Step 6: Final answer
    x = 7,886.77

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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.