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Finding the Fourth Proportional to 9,710.98, 14,564.29 and 3,788

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Solution

The fourth proportional to 9,710.98, 14,564.29 and 3,788 is: 5,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.98 : 14,564.29 = 3,788 : x
  2. Step 2: Convert to fraction form
    9,710.98/14,564.29 = 3,788/x
  3. Step 3: Cross multiply
    9,710.98x = 14,564.29 × 3,788
  4. Step 4: Simplify right side
    9,710.98x = 55,169,530.52
  5. Step 5: Solve for x
    x = 55,169,530.52/9,710.98
  6. Step 6: Final answer
    x = 5,681.15

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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.