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Finding the Fourth Proportional to 7,055.04, 9,736.41 and 4,071

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Solution

The fourth proportional to 7,055.04, 9,736.41 and 4,071 is: 5,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.04 : 9,736.41 = 4,071 : x
  2. Step 2: Convert to fraction form
    7,055.04/9,736.41 = 4,071/x
  3. Step 3: Cross multiply
    7,055.04x = 9,736.41 × 4,071
  4. Step 4: Simplify right side
    7,055.04x = 39,636,925.11
  5. Step 5: Solve for x
    x = 39,636,925.11/7,055.04
  6. Step 6: Final answer
    x = 5,618.24

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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.