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Finding the Fourth Proportional to 9,658.14, 14,482.74 and 4,392.93

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Solution

The fourth proportional to 9,658.14, 14,482.74 and 4,392.93 is: 6,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.14 : 14,482.74 = 4,392.93 : x
  2. Step 2: Convert to fraction form
    9,658.14/14,482.74 = 4,392.93/x
  3. Step 3: Cross multiply
    9,658.14x = 14,482.74 × 4,392.93
  4. Step 4: Simplify right side
    9,658.14x = 63,621,663.03
  5. Step 5: Solve for x
    x = 63,621,663.03/9,658.14
  6. Step 6: Final answer
    x = 6,587.36

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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.