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Finding the Fourth Proportional to 6,075.42, 9,113.48 and 1,915.56

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Solution

The fourth proportional to 6,075.42, 9,113.48 and 1,915.56 is: 2,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.42 : 9,113.48 = 1,915.56 : x
  2. Step 2: Convert to fraction form
    6,075.42/9,113.48 = 1,915.56/x
  3. Step 3: Cross multiply
    6,075.42x = 9,113.48 × 1,915.56
  4. Step 4: Simplify right side
    6,075.42x = 17,457,417.75
  5. Step 5: Solve for x
    x = 17,457,417.75/6,075.42
  6. Step 6: Final answer
    x = 2,873.45

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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.