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Finding the Fourth Proportional to 9,075.58, 12,523.68 and 5,097.06

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Solution

The fourth proportional to 9,075.58, 12,523.68 and 5,097.06 is: 7,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.58 : 12,523.68 = 5,097.06 : x
  2. Step 2: Convert to fraction form
    9,075.58/12,523.68 = 5,097.06/x
  3. Step 3: Cross multiply
    9,075.58x = 12,523.68 × 5,097.06
  4. Step 4: Simplify right side
    9,075.58x = 63,833,948.38
  5. Step 5: Solve for x
    x = 63,833,948.38/9,075.58
  6. Step 6: Final answer
    x = 7,033.60

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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.