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Finding the Fourth Proportional to 9,709.74, 14,547.33 and 4,075.02

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Solution

The fourth proportional to 9,709.74, 14,547.33 and 4,075.02 is: 6,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.74 : 14,547.33 = 4,075.02 : x
  2. Step 2: Convert to fraction form
    9,709.74/14,547.33 = 4,075.02/x
  3. Step 3: Cross multiply
    9,709.74x = 14,547.33 × 4,075.02
  4. Step 4: Simplify right side
    9,709.74x = 59,280,660.70
  5. Step 5: Solve for x
    x = 59,280,660.70/9,709.74
  6. Step 6: Final answer
    x = 6,105.28

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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.