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Finding the Fourth Proportional to 9,526.48, 13,147.92 and 5,335

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Solution

The fourth proportional to 9,526.48, 13,147.92 and 5,335 is: 7,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.48 : 13,147.92 = 5,335 : x
  2. Step 2: Convert to fraction form
    9,526.48/13,147.92 = 5,335/x
  3. Step 3: Cross multiply
    9,526.48x = 13,147.92 × 5,335
  4. Step 4: Simplify right side
    9,526.48x = 70,144,153.20
  5. Step 5: Solve for x
    x = 70,144,153.20/9,526.48
  6. Step 6: Final answer
    x = 7,363.07

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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.