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Finding the Fourth Proportional to 6,532.94, 9,018.59 and 4,648.47

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Solution

The fourth proportional to 6,532.94, 9,018.59 and 4,648.47 is: 6,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.94 : 9,018.59 = 4,648.47 : x
  2. Step 2: Convert to fraction form
    6,532.94/9,018.59 = 4,648.47/x
  3. Step 3: Cross multiply
    6,532.94x = 9,018.59 × 4,648.47
  4. Step 4: Simplify right side
    6,532.94x = 41,922,621.81
  5. Step 5: Solve for x
    x = 41,922,621.81/6,532.94
  6. Step 6: Final answer
    x = 6,417.12

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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.