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Finding the Fourth Proportional to 9,864.75, 14,804.43 and 4,670.64

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Solution

The fourth proportional to 9,864.75, 14,804.43 and 4,670.64 is: 7,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.75 : 14,804.43 = 4,670.64 : x
  2. Step 2: Convert to fraction form
    9,864.75/14,804.43 = 4,670.64/x
  3. Step 3: Cross multiply
    9,864.75x = 14,804.43 × 4,670.64
  4. Step 4: Simplify right side
    9,864.75x = 69,146,162.94
  5. Step 5: Solve for x
    x = 69,146,162.94/9,864.75
  6. Step 6: Final answer
    x = 7,009.42

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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.