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Finding the Fourth Proportional to 9,970.10, 14,955.15 and 7,205.30

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Solution

The fourth proportional to 9,970.10, 14,955.15 and 7,205.30 is: 10,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.10 : 14,955.15 = 7,205.30 : x
  2. Step 2: Convert to fraction form
    9,970.10/14,955.15 = 7,205.30/x
  3. Step 3: Cross multiply
    9,970.10x = 14,955.15 × 7,205.30
  4. Step 4: Simplify right side
    9,970.10x = 107,756,342.30
  5. Step 5: Solve for x
    x = 107,756,342.30/9,970.10
  6. Step 6: Final answer
    x = 10,807.95

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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.