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Finding the Fourth Proportional to 10,357.65, 15,506.55 and 9,289.35

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Solution

The fourth proportional to 10,357.65, 15,506.55 and 9,289.35 is: 13,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.65 : 15,506.55 = 9,289.35 : x
  2. Step 2: Convert to fraction form
    10,357.65/15,506.55 = 9,289.35/x
  3. Step 3: Cross multiply
    10,357.65x = 15,506.55 × 9,289.35
  4. Step 4: Simplify right side
    10,357.65x = 144,045,770.24
  5. Step 5: Solve for x
    x = 144,045,770.24/10,357.65
  6. Step 6: Final answer
    x = 13,907.19

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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.