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Finding the Fourth Proportional to 7,054.34, 9,735.02 and 4,070.30

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Solution

The fourth proportional to 7,054.34, 9,735.02 and 4,070.30 is: 5,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.34 : 9,735.02 = 4,070.30 : x
  2. Step 2: Convert to fraction form
    7,054.34/9,735.02 = 4,070.30/x
  3. Step 3: Cross multiply
    7,054.34x = 9,735.02 × 4,070.30
  4. Step 4: Simplify right side
    7,054.34x = 39,624,398.14
  5. Step 5: Solve for x
    x = 39,624,398.14/7,054.34
  6. Step 6: Final answer
    x = 5,617.03

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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.