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Finding the Fourth Proportional to 7,013, 9,678.08 and 4,533.32

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Solution

The fourth proportional to 7,013, 9,678.08 and 4,533.32 is: 6,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013 : 9,678.08 = 4,533.32 : x
  2. Step 2: Convert to fraction form
    7,013/9,678.08 = 4,533.32/x
  3. Step 3: Cross multiply
    7,013x = 9,678.08 × 4,533.32
  4. Step 4: Simplify right side
    7,013x = 43,873,833.63
  5. Step 5: Solve for x
    x = 43,873,833.63/7,013
  6. Step 6: Final answer
    x = 6,256.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.