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Finding the Fourth Proportional to 9,037.65, 12,477.66 and 5,852.40

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Solution

The fourth proportional to 9,037.65, 12,477.66 and 5,852.40 is: 8,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.65 : 12,477.66 = 5,852.40 : x
  2. Step 2: Convert to fraction form
    9,037.65/12,477.66 = 5,852.40/x
  3. Step 3: Cross multiply
    9,037.65x = 12,477.66 × 5,852.40
  4. Step 4: Simplify right side
    9,037.65x = 73,024,257.38
  5. Step 5: Solve for x
    x = 73,024,257.38/9,037.65
  6. Step 6: Final answer
    x = 8,080.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.