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Finding the Fourth Proportional to 9,384.76, 14,075.06 and 2,810.08

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Solution

The fourth proportional to 9,384.76, 14,075.06 and 2,810.08 is: 4,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.76 : 14,075.06 = 2,810.08 : x
  2. Step 2: Convert to fraction form
    9,384.76/14,075.06 = 2,810.08/x
  3. Step 3: Cross multiply
    9,384.76x = 14,075.06 × 2,810.08
  4. Step 4: Simplify right side
    9,384.76x = 39,552,044.60
  5. Step 5: Solve for x
    x = 39,552,044.60/9,384.76
  6. Step 6: Final answer
    x = 4,214.50

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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.