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Finding the Fourth Proportional to 9,006.66, 13,510.64 and 3,460.00

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Solution

The fourth proportional to 9,006.66, 13,510.64 and 3,460.00 is: 5,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.66 : 13,510.64 = 3,460.00 : x
  2. Step 2: Convert to fraction form
    9,006.66/13,510.64 = 3,460.00/x
  3. Step 3: Cross multiply
    9,006.66x = 13,510.64 × 3,460.00
  4. Step 4: Simplify right side
    9,006.66x = 46,746,763.32
  5. Step 5: Solve for x
    x = 46,746,763.32/9,006.66
  6. Step 6: Final answer
    x = 5,190.24

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Why These Related Problems?

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