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Finding the Fourth Proportional to 9,657.47, 14,492.70 and 3,417.46

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Solution

The fourth proportional to 9,657.47, 14,492.70 and 3,417.46 is: 5,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.47 : 14,492.70 = 3,417.46 : x
  2. Step 2: Convert to fraction form
    9,657.47/14,492.70 = 3,417.46/x
  3. Step 3: Cross multiply
    9,657.47x = 14,492.70 × 3,417.46
  4. Step 4: Simplify right side
    9,657.47x = 49,528,155.38
  5. Step 5: Solve for x
    x = 49,528,155.38/9,657.47
  6. Step 6: Final answer
    x = 5,128.48

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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.