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Finding the Fourth Proportional to 9,748.96, 13,454.10 and 5,501.52

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Solution

The fourth proportional to 9,748.96, 13,454.10 and 5,501.52 is: 7,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.96 : 13,454.10 = 5,501.52 : x
  2. Step 2: Convert to fraction form
    9,748.96/13,454.10 = 5,501.52/x
  3. Step 3: Cross multiply
    9,748.96x = 13,454.10 × 5,501.52
  4. Step 4: Simplify right side
    9,748.96x = 74,018,000.23
  5. Step 5: Solve for x
    x = 74,018,000.23/9,748.96
  6. Step 6: Final answer
    x = 7,592.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.