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Finding the Fourth Proportional to 7,006.16, 9,669.93 and 4,024.01

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Solution

The fourth proportional to 7,006.16, 9,669.93 and 4,024.01 is: 5,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.16 : 9,669.93 = 4,024.01 : x
  2. Step 2: Convert to fraction form
    7,006.16/9,669.93 = 4,024.01/x
  3. Step 3: Cross multiply
    7,006.16x = 9,669.93 × 4,024.01
  4. Step 4: Simplify right side
    7,006.16x = 38,911,895.02
  5. Step 5: Solve for x
    x = 38,911,895.02/7,006.16
  6. Step 6: Final answer
    x = 5,553.95

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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.