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Finding the Fourth Proportional to 9,810.10, 14,715.15 and 9,637.30

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Solution

The fourth proportional to 9,810.10, 14,715.15 and 9,637.30 is: 14,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.10 : 14,715.15 = 9,637.30 : x
  2. Step 2: Convert to fraction form
    9,810.10/14,715.15 = 9,637.30/x
  3. Step 3: Cross multiply
    9,810.10x = 14,715.15 × 9,637.30
  4. Step 4: Simplify right side
    9,810.10x = 141,814,315.10
  5. Step 5: Solve for x
    x = 141,814,315.10/9,810.10
  6. Step 6: Final answer
    x = 14,455.95

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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.