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Finding the Fourth Proportional to 10,501.48, 15,705.72 and 9,339.64

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Solution

The fourth proportional to 10,501.48, 15,705.72 and 9,339.64 is: 13,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.48 : 15,705.72 = 9,339.64 : x
  2. Step 2: Convert to fraction form
    10,501.48/15,705.72 = 9,339.64/x
  3. Step 3: Cross multiply
    10,501.48x = 15,705.72 × 9,339.64
  4. Step 4: Simplify right side
    10,501.48x = 146,685,770.74
  5. Step 5: Solve for x
    x = 146,685,770.74/10,501.48
  6. Step 6: Final answer
    x = 13,968.10

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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.