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Finding the Fourth Proportional to 9,377.39, 14,064.00 and 2,802.72

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Solution

The fourth proportional to 9,377.39, 14,064.00 and 2,802.72 is: 4,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.39 : 14,064.00 = 2,802.72 : x
  2. Step 2: Convert to fraction form
    9,377.39/14,064.00 = 2,802.72/x
  3. Step 3: Cross multiply
    9,377.39x = 14,064.00 × 2,802.72
  4. Step 4: Simplify right side
    9,377.39x = 39,417,496.31
  5. Step 5: Solve for x
    x = 39,417,496.31/9,377.39
  6. Step 6: Final answer
    x = 4,203.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.