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Finding the Fourth Proportional to 6,356.58, 9,533.07 and 4,013.07

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Solution

The fourth proportional to 6,356.58, 9,533.07 and 4,013.07 is: 6,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.58 : 9,533.07 = 4,013.07 : x
  2. Step 2: Convert to fraction form
    6,356.58/9,533.07 = 4,013.07/x
  3. Step 3: Cross multiply
    6,356.58x = 9,533.07 × 4,013.07
  4. Step 4: Simplify right side
    6,356.58x = 38,256,877.22
  5. Step 5: Solve for x
    x = 38,256,877.22/6,356.58
  6. Step 6: Final answer
    x = 6,018.47

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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.