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Finding the Fourth Proportional to 9,710.47, 14,534.37 and 5,024.02

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Solution

The fourth proportional to 9,710.47, 14,534.37 and 5,024.02 is: 7,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.47 : 14,534.37 = 5,024.02 : x
  2. Step 2: Convert to fraction form
    9,710.47/14,534.37 = 5,024.02/x
  3. Step 3: Cross multiply
    9,710.47x = 14,534.37 × 5,024.02
  4. Step 4: Simplify right side
    9,710.47x = 73,020,965.57
  5. Step 5: Solve for x
    x = 73,020,965.57/9,710.47
  6. Step 6: Final answer
    x = 7,519.82

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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.