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Finding the Fourth Proportional to 7,055.02, 9,736.14 and 4,070.98

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Solution

The fourth proportional to 7,055.02, 9,736.14 and 4,070.98 is: 5,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.02 : 9,736.14 = 4,070.98 : x
  2. Step 2: Convert to fraction form
    7,055.02/9,736.14 = 4,070.98/x
  3. Step 3: Cross multiply
    7,055.02x = 9,736.14 × 4,070.98
  4. Step 4: Simplify right side
    7,055.02x = 39,635,631.22
  5. Step 5: Solve for x
    x = 39,635,631.22/7,055.02
  6. Step 6: Final answer
    x = 5,618.07

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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.