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Finding the Fourth Proportional to 7,035.72, 9,705.38 and 4,643.32

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Solution

The fourth proportional to 7,035.72, 9,705.38 and 4,643.32 is: 6,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.72 : 9,705.38 = 4,643.32 : x
  2. Step 2: Convert to fraction form
    7,035.72/9,705.38 = 4,643.32/x
  3. Step 3: Cross multiply
    7,035.72x = 9,705.38 × 4,643.32
  4. Step 4: Simplify right side
    7,035.72x = 45,065,185.06
  5. Step 5: Solve for x
    x = 45,065,185.06/7,035.72
  6. Step 6: Final answer
    x = 6,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.