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Finding the Fourth Proportional to 9,594.14, 14,364.64 and 4,904.05

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Solution

The fourth proportional to 9,594.14, 14,364.64 and 4,904.05 is: 7,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.14 : 14,364.64 = 4,904.05 : x
  2. Step 2: Convert to fraction form
    9,594.14/14,364.64 = 4,904.05/x
  3. Step 3: Cross multiply
    9,594.14x = 14,364.64 × 4,904.05
  4. Step 4: Simplify right side
    9,594.14x = 70,444,888.27
  5. Step 5: Solve for x
    x = 70,444,888.27/9,594.14
  6. Step 6: Final answer
    x = 7,342.49

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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.