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Finding the Fourth Proportional to 9,970.35, 13,748.61 and 7,448.50

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Solution

The fourth proportional to 9,970.35, 13,748.61 and 7,448.50 is: 10,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.35 : 13,748.61 = 7,448.50 : x
  2. Step 2: Convert to fraction form
    9,970.35/13,748.61 = 7,448.50/x
  3. Step 3: Cross multiply
    9,970.35x = 13,748.61 × 7,448.50
  4. Step 4: Simplify right side
    9,970.35x = 102,406,521.59
  5. Step 5: Solve for x
    x = 102,406,521.59/9,970.35
  6. Step 6: Final answer
    x = 10,271.11

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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.