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Finding the Fourth Proportional to 9,307.80, 14,025.24 and 7,700.40

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Solution

The fourth proportional to 9,307.80, 14,025.24 and 7,700.40 is: 11,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.80 : 14,025.24 = 7,700.40 : x
  2. Step 2: Convert to fraction form
    9,307.80/14,025.24 = 7,700.40/x
  3. Step 3: Cross multiply
    9,307.80x = 14,025.24 × 7,700.40
  4. Step 4: Simplify right side
    9,307.80x = 107,999,958.10
  5. Step 5: Solve for x
    x = 107,999,958.10/9,307.80
  6. Step 6: Final answer
    x = 11,603.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.