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Finding the Fourth Proportional to 9,554.70, 14,329.59 and 2,977.50

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Solution

The fourth proportional to 9,554.70, 14,329.59 and 2,977.50 is: 4,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.70 : 14,329.59 = 2,977.50 : x
  2. Step 2: Convert to fraction form
    9,554.70/14,329.59 = 2,977.50/x
  3. Step 3: Cross multiply
    9,554.70x = 14,329.59 × 2,977.50
  4. Step 4: Simplify right side
    9,554.70x = 42,666,354.23
  5. Step 5: Solve for x
    x = 42,666,354.23/9,554.70
  6. Step 6: Final answer
    x = 4,465.48

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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.