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Finding the Fourth Proportional to 9,645.60, 14,468.40 and 7,312.80

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Solution

The fourth proportional to 9,645.60, 14,468.40 and 7,312.80 is: 10,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.60 : 14,468.40 = 7,312.80 : x
  2. Step 2: Convert to fraction form
    9,645.60/14,468.40 = 7,312.80/x
  3. Step 3: Cross multiply
    9,645.60x = 14,468.40 × 7,312.80
  4. Step 4: Simplify right side
    9,645.60x = 105,804,515.52
  5. Step 5: Solve for x
    x = 105,804,515.52/9,645.60
  6. Step 6: Final answer
    x = 10,969.20

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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.